78764000 has 192 divisors, whose sum is σ = 231154560. Its totient is φ = 25804800.

The previous prime is 78763981. The next prime is 78764011. The reversal of 78764000 is 46787.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811952 + ... + 812048.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^78764000 is an apocalyptic number.

78764000 is a gapful number since it is divisible by the number (70) 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 78764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

78764000 is an abundant number, since it is smaller than the sum of its proper divisors (152390560).

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

78764000 is a wasteful number, since it uses less digits than its factorization.

78764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

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

The square root of 78764000 is about 8874.9084502320. The cubic root of 78764000 is about 428.6563429629.

The spelling of 78764000 in words is "seventy-eight million, seven hundred sixty-four thousand".