48077920 has 96 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 17149440.

The previous prime is 48077903. The next prime is 48077929. The reversal of 48077920 is 2977084.

It is a happy number.

48077920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48077920³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 48077920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103609 + ... + 104071.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^48077920 is an apocalyptic number.

48077920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

48077920 is an abundant number, since it is smaller than the sum of its proper divisors (78204320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48077920 is a wasteful number, since it uses less digits than its factorization.

48077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 48077920 is about 6933.8243415881. The cubic root of 48077920 is about 363.6206650799.

It can be divided in two parts, 480 and 77920, that added together give a square (78400 = 280²).

The spelling of 48077920 in words is "forty-eight million, seventy-seven thousand, nine hundred twenty".