77764764 has 108 divisors (see below), whose sum is σ = 232221192. Its totient is φ = 20180160.

The previous prime is 77764763. The next prime is 77764781. The reversal of 77764764 is 46746777.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77764763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70602 + ... + 71694.

Almost surely, 2^77764764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77764764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116110596).

77764764 is an abundant number, since it is smaller than the sum of its proper divisors (154456428).

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

77764764 is a wasteful number, since it uses less digits than its factorization.

77764764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its digits is 1382976, while the sum is 48.

The square root of 77764764 is about 8818.4331941678. The cubic root of 77764764 is about 426.8359129450.

The spelling of 77764764 in words is "seventy-seven million, seven hundred sixty-four thousand, seven hundred sixty-four".