76041264 has 80 divisors (see below), whose sum is σ = 218430464. Its totient is φ = 22636800.

The previous prime is 76041247. The next prime is 76041271. The reversal of 76041264 is 46214067.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379 + ... + 21309.

Almost surely, 2^76041264 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 76041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109215232).

76041264 is an abundant number, since it is smaller than the sum of its proper divisors (142389200).

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

76041264 is a wasteful number, since it uses less digits than its factorization.

76041264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 76041264 is about 8720.1642186372. The cubic root of 76041264 is about 423.6590055310.

It can be divided in two parts, 760 and 41264, that added together give a palindrome (42024).

The spelling of 76041264 in words is "seventy-six million, forty-one thousand, two hundred sixty-four".