78764 has 24 divisors (see below), whose sum is σ = 164640. Its totient is φ = 32256.

The previous prime is 78737. The next prime is 78779. The reversal of 78764 is 46787.

78764 = T₉₉ + T₁₀₀ + ... + T₁₁₂.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 78764.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 764 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (6860).

2⁷⁸⁷⁶⁴ 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 78764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

78764 is an abundant number, since it is smaller than the sum of its proper divisors (85876).

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

78764 is a wasteful number, since it uses less digits than its factorization.

78764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 135 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 78764 is about 280.6492472821. The cubic root of 78764 is about 42.8656342963.

The spelling of 78764 in words is "seventy-eight thousand, seven hundred sixty-four".