76986468 has 72 divisors (see below), whose sum is σ = 210974400. Its totient is φ = 23530176.

The previous prime is 76986449. The next prime is 76986487. The reversal of 76986468 is 86468967.

It is an interprime number because it is at equal distance from previous prime (76986449) and next prime (76986487).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83313 + ... + 84231.

It is an arithmetic number, because the mean of its divisors is an integer number (2930200).

Almost surely, 2^76986468 is an apocalyptic number.

76986468 is a gapful number since it is divisible by the number (78) 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 76986468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105487200).

76986468 is an abundant number, since it is smaller than the sum of its proper divisors (133987932).

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

76986468 is a wasteful number, since it uses less digits than its factorization.

76986468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1116 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 76986468 is about 8774.1932962524. The cubic root of 76986468 is about 425.4071632030.

The spelling of 76986468 in words is "seventy-six million, nine hundred eighty-six thousand, four hundred sixty-eight".