76292864 has 36 divisors (see below), whose sum is σ = 155188656. Its totient is φ = 37420032.

The previous prime is 76292851. The next prime is 76292869. The reversal of 76292864 is 46829267.

It is not an unprimeable number, because it can be changed into a prime (76292869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10757 + ... + 16379.

It is an arithmetic number, because the mean of its divisors is an integer number (4310796).

Almost surely, 2^76292864 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 76292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77594328).

76292864 is an abundant number, since it is smaller than the sum of its proper divisors (78895792).

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

76292864 is an equidigital number, since it uses as much as digits as its factorization.

76292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5678 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 76292864 is about 8734.5786389499. The cubic root of 76292864 is about 424.1257488655.

The spelling of 76292864 in words is "seventy-six million, two hundred ninety-two thousand, eight hundred sixty-four".