47764320 has 96 divisors (see below), whose sum is σ = 151683840. Its totient is φ = 12633600.

The previous prime is 47764291. The next prime is 47764331. The reversal of 47764320 is 2346774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72151 + ... + 72809.

It is an arithmetic number, because the mean of its divisors is an integer number (1580040).

Almost surely, 2^47764320 is an apocalyptic number.

47764320 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 47764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

47764320 is an abundant number, since it is smaller than the sum of its proper divisors (103919520).

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

47764320 is a wasteful number, since it uses less digits than its factorization.

47764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 47764320 is about 6911.1735617043. The cubic root of 47764320 is about 362.8283382654.

It can be divided in two parts, 47764 and 320, that added together give a palindrome (48084).

The spelling of 47764320 in words is "forty-seven million, seven hundred sixty-four thousand, three hundred twenty".