76416912 has 160 divisors (see below), whose sum is σ = 257900160. Its totient is φ = 21358080.

The previous prime is 76416889. The next prime is 76416919. The reversal of 76416912 is 21961467.

76416912 is a `hidden beast` number, since 7 + 641 + 6 + 9 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (76416919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61158 + ... + 62394.

It is an arithmetic number, because the mean of its divisors is an integer number (1611876).

Almost surely, 2^76416912 is an apocalyptic number.

76416912 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 76416912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128950080).

76416912 is an abundant number, since it is smaller than the sum of its proper divisors (181483248).

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

76416912 is a wasteful number, since it uses less digits than its factorization.

76416912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 76416912 is about 8741.6767270358. The cubic root of 76416912 is about 424.3554927724.

Subtracting from 76416912 its reverse (21961467), we obtain a palindrome (54455445).

The spelling of 76416912 in words is "seventy-six million, four hundred sixteen thousand, nine hundred twelve".