76679296 has 32 divisors (see below), whose sum is σ = 154713600. Its totient is φ = 37849344.

The previous prime is 76679293. The next prime is 76679321. The reversal of 76679296 is 69297667.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (76679293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6321 + ... + 13903.

It is an arithmetic number, because the mean of its divisors is an integer number (4834800).

Almost surely, 2^76679296 is an apocalyptic number.

76679296 is the 5056-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77356800).

76679296 is an abundant number, since it is smaller than the sum of its proper divisors (78034304).

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

76679296 is an equidigital number, since it uses as much as digits as its factorization.

76679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7664 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 52.

The square root of 76679296 is about 8756.6715137659. The cubic root of 76679296 is about 424.8406249015.

The spelling of 76679296 in words is "seventy-six million, six hundred seventy-nine thousand, two hundred ninety-six".