76386312 has 96 divisors (see below), whose sum is σ = 217900800. Its totient is φ = 24127488.

The previous prime is 76386307. The next prime is 76386329. The reversal of 76386312 is 21368367.

It is a happy number.

76386312 is a `hidden beast` number, since 7 + 638 + 6 + 3 + 12 = 666.

It is a super-2 number, since 2×76386312² = 11669737321922688, which contains 22 as substring.

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

It is a cake number, because a cake can be divided into 76386312 parts by 771 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319489 + ... + 319727.

It is an arithmetic number, because the mean of its divisors is an integer number (2269800).

Almost surely, 2^76386312 is an apocalyptic number.

76386312 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 76386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950400).

76386312 is an abundant number, since it is smaller than the sum of its proper divisors (141514488).

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

76386312 is a wasteful number, since it uses less digits than its factorization.

76386312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76386312 is about 8739.9263154789. The cubic root of 76386312 is about 424.2988429576.

The spelling of 76386312 in words is "seventy-six million, three hundred eighty-six thousand, three hundred twelve".