77792064 has 56 divisors (see below), whose sum is σ = 235232448. Its totient is φ = 22225920.

The previous prime is 77792063. The next prime is 77792083. The reversal of 77792064 is 46029777.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77792063) 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, 27597 + ... + 30284.

Almost surely, 2^77792064 is an apocalyptic number.

It is an amenable number.

77792064 is an abundant number, since it is smaller than the sum of its proper divisors (157440384).

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

77792064 is a wasteful number, since it uses less digits than its factorization.

77792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57903 (or 57893 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 77792064 is about 8819.9809523604. The cubic root of 77792064 is about 426.8858552604.

The spelling of 77792064 in words is "seventy-seven million, seven hundred ninety-two thousand, sixty-four".