76947864 has 64 divisors (see below), whose sum is σ = 225811200. Its totient is φ = 21389184.

The previous prime is 76947851. The next prime is 76947877. The reversal of 76947864 is 46874967.

It is an interprime number because it is at equal distance from previous prime (76947851) and next prime (76947877).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27 + ... + 12405.

It is an arithmetic number, because the mean of its divisors is an integer number (3528300).

Almost surely, 2^76947864 is an apocalyptic number.

76947864 is a gapful number since it is divisible by the number (74) 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 76947864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112905600).

76947864 is an abundant number, since it is smaller than the sum of its proper divisors (148863336).

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

76947864 is a wasteful number, since it uses less digits than its factorization.

76947864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432 (or 12428 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 76947864 is about 8771.9931600521. The cubic root of 76947864 is about 425.3360460995.

The spelling of 76947864 in words is "seventy-six million, nine hundred forty-seven thousand, eight hundred sixty-four".