48077520 has 40 divisors (see below), whose sum is σ = 149041056. Its totient is φ = 12820608.

The previous prime is 48077509. The next prime is 48077527. The reversal of 48077520 is 2577084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×48077520³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48077527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99922 + ... + 100401.

Almost surely, 2^48077520 is an apocalyptic number.

48077520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48077520 is an abundant number, since it is smaller than the sum of its proper divisors (100963536).

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

48077520 is a wasteful number, since it uses less digits than its factorization.

48077520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200339 (or 200333 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 48077520 is about 6933.7954974170. The cubic root of 48077520 is about 363.6196566567.

The spelling of 48077520 in words is "forty-eight million, seventy-seven thousand, five hundred twenty".