76974912 has 168 divisors, whose sum is σ = 267224256. Its totient is φ = 20680704.

The previous prime is 76974907. The next prime is 76974913. The reversal of 76974912 is 21947967.

76974912 is a `hidden beast` number, since 76 + 97 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76974913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67983 + ... + 69105.

Almost surely, 2^76974912 is an apocalyptic number.

76974912 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 76974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133612128).

76974912 is an abundant number, since it is smaller than the sum of its proper divisors (190249344).

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

76974912 is a wasteful number, since it uses less digits than its factorization.

76974912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1152 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 76974912 is about 8773.5347494610. The cubic root of 76974912 is about 425.3858769895.

The spelling of 76974912 in words is "seventy-six million, nine hundred seventy-four thousand, nine hundred twelve".