76336992 has 72 divisors (see below), whose sum is σ = 225146376. Its totient is φ = 25443072.

The previous prime is 76336979. The next prime is 76337029. The reversal of 76336992 is 29963367.

76336992 is a `hidden beast` number, since 7 + 633 + 6 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2868 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (3127033).

Almost surely, 2^76336992 is an apocalyptic number.

76336992 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 76336992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112573188).

76336992 is an abundant number, since it is smaller than the sum of its proper divisors (148809384).

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

76336992 is an equidigital number, since it uses as much as digits as its factorization.

76336992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9822 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 76336992 is about 8737.1043258050. The cubic root of 76336992 is about 424.2075049338.

The spelling of 76336992 in words is "seventy-six million, three hundred thirty-six thousand, nine hundred ninety-two".