76792820 has 24 divisors (see below), whose sum is σ = 173670504. Its totient is φ = 28354176.

The previous prime is 76792811. The next prime is 76792823. The reversal of 76792820 is 2829767.

It can be written as a sum of positive squares in 4 ways, for example, as 8168164 + 68624656 = 2858^2 + 8284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76792823) 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, 147419 + ... + 147938.

It is an arithmetic number, because the mean of its divisors is an integer number (7236271).

Almost surely, 2^76792820 is an apocalyptic number.

It is an amenable number.

76792820 is an abundant number, since it is smaller than the sum of its proper divisors (96877684).

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

76792820 is a wasteful number, since it uses less digits than its factorization.

76792820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295379 (or 295377 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 76792820 is about 8763.1512596782. The cubic root of 76792820 is about 425.0501809260.

The spelling of 76792820 in words is "seventy-six million, seven hundred ninety-two thousand, eight hundred twenty".