77152640 has 32 divisors (see below), whose sum is σ = 184444560. Its totient is φ = 30860800.

The previous prime is 77152639. The next prime is 77152643. The reversal of 77152640 is 4625177.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 77152597 and 77152606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77152643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59636 + ... + 60915.

Almost surely, 2^77152640 is an apocalyptic number.

It is an amenable number.

77152640 is an abundant number, since it is smaller than the sum of its proper divisors (107291920).

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

77152640 is a wasteful number, since it uses less digits than its factorization.

77152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120570 (or 120558 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 77152640 is about 8783.6575525233. The cubic root of 77152640 is about 425.7130176424.

The spelling of 77152640 in words is "seventy-seven million, one hundred fifty-two thousand, six hundred forty".