77753920 has 56 divisors (see below), whose sum is σ = 196056504. Its totient is φ = 29270016.

The previous prime is 77753911. The next prime is 77753927. The reversal of 77753920 is 2935777.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 76877824 = 936^2 + 8768^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77753927) 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, 1707 + ... + 12586.

It is an arithmetic number, because the mean of its divisors is an integer number (3501009).

Almost surely, 2^77753920 is an apocalyptic number.

It is an amenable number.

77753920 is an abundant number, since it is smaller than the sum of its proper divisors (118302584).

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

77753920 is a wasteful number, since it uses less digits than its factorization.

77753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14317 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 40.

The square root of 77753920 is about 8817.8183242795. The cubic root of 77753920 is about 426.8160718089.

The spelling of 77753920 in words is "seventy-seven million, seven hundred fifty-three thousand, nine hundred twenty".