76364352 has 84 divisors (see below), whose sum is σ = 220210380. Its totient is φ = 25300992.

The previous prime is 76364333. The next prime is 76364369. The reversal of 76364352 is 25346367.

76364352 is a `hidden beast` number, since 7 + 6 + 3 + 643 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 62346816 = 3744^2 + 7896^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133924 + ... + 134492.

Almost surely, 2^76364352 is an apocalyptic number.

76364352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110105190).

76364352 is an abundant number, since it is smaller than the sum of its proper divisors (143846028).

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

76364352 is a wasteful number, since it uses less digits than its factorization.

76364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 76364352 is about 8738.6699216757. The cubic root of 76364352 is about 424.2581790595.

The spelling of 76364352 in words is "seventy-six million, three hundred sixty-four thousand, three hundred fifty-two".