76468992 has 72 divisors (see below), whose sum is σ = 215527536. Its totient is φ = 23986176.

The previous prime is 76468981. The next prime is 76468993. The reversal of 76468992 is 29986467.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76468993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10128 + ... + 15984.

It is an arithmetic number, because the mean of its divisors is an integer number (2993438).

Almost surely, 2^76468992 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 76468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107763768).

76468992 is an abundant number, since it is smaller than the sum of its proper divisors (139058544).

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

76468992 is a wasteful number, since it uses less digits than its factorization.

76468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5879 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 76468992 is about 8744.6550532311. The cubic root of 76468992 is about 424.4518737729.

The spelling of 76468992 in words is "seventy-six million, four hundred sixty-eight thousand, nine hundred ninety-two".