76557312 has 220 divisors, whose sum is σ = 249668496. Its totient is φ = 23224320.

The previous prime is 76557287. The next prime is 76557319. The reversal of 76557312 is 21375567.

76557312 is a `hidden beast` number, since 76 + 5 + 573 + 12 = 666.

It is a super-2 number, since 2×76557312² = 11722044041330688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76557319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078237 + ... + 1078307.

Almost surely, 2^76557312 is an apocalyptic number.

76557312 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 76557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124834248).

76557312 is an abundant number, since it is smaller than the sum of its proper divisors (173111184).

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

76557312 is a wasteful number, since it uses less digits than its factorization.

76557312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 76557312 is about 8749.7035378349. The cubic root of 76557312 is about 424.6152217536.

The spelling of 76557312 in words is "seventy-six million, five hundred fifty-seven thousand, three hundred twelve".