76412160 has 360 divisors, whose sum is σ = 302724576. Its totient is φ = 18247680.

The previous prime is 76412153. The next prime is 76412209. The reversal of 76412160 is 6121467.

76412160 is a `hidden beast` number, since 7 + 641 + 2 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1140447 + ... + 1140513.

Almost surely, 2^76412160 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 76412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151362288).

76412160 is an abundant number, since it is smaller than the sum of its proper divisors (226312416).

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

76412160 is a wasteful number, since it uses less digits than its factorization.

76412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76412160 is about 8741.4049214071. The cubic root of 76412160 is about 424.3466963814.

It can be divided in two parts, 7641 and 2160, that added together give a square (9801 = 99²).

The spelling of 76412160 in words is "seventy-six million, four hundred twelve thousand, one hundred sixty".