76443264 has 160 divisors (see below), whose sum is σ = 232893540. Its totient is φ = 24883200.

The previous prime is 76443259. The next prime is 76443281. The reversal of 76443264 is 46234467.

76443264 is a `hidden beast` number, since 7 + 644 + 3 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68558400 + 7884864 = 8280^2 + 2808^2 .

It is a super-2 number, since 2×76443264² = 11687145221947392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 756814 + ... + 756914.

Almost surely, 2^76443264 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 76443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116446770).

76443264 is an abundant number, since it is smaller than the sum of its proper divisors (156450276).

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

76443264 is a wasteful number, since it uses less digits than its factorization.

76443264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 76443264 is about 8743.1838594416. The cubic root of 76443264 is about 424.4042661415.

The spelling of 76443264 in words is "seventy-six million, four hundred forty-three thousand, two hundred sixty-four".