76924764 has 144 divisors (see below), whose sum is σ = 235755520. Its totient is φ = 20684160.

The previous prime is 76924751. The next prime is 76924769. The reversal of 76924764 is 46742967.

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 (76924769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335802 + ... + 336030.

Almost surely, 2^76924764 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 76924764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117877760).

76924764 is an abundant number, since it is smaller than the sum of its proper divisors (158830756).

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

76924764 is a wasteful number, since it uses less digits than its factorization.

76924764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 76924764 is about 8770.6763707254. The cubic root of 76924764 is about 425.2934794164.

The spelling of 76924764 in words is "seventy-six million, nine hundred twenty-four thousand, seven hundred sixty-four".