78966720 has 168 divisors, whose sum is σ = 310493664. Its totient is φ = 18044928.

The previous prime is 78966709. The next prime is 78966733. The reversal of 78966720 is 2766987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 18202 + ... + 22118.

Almost surely, 2^78966720 is an apocalyptic number.

78966720 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 78966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155246832).

78966720 is an abundant number, since it is smaller than the sum of its proper divisors (231526944).

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

78966720 is a wasteful number, since it uses less digits than its factorization.

78966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 78966720 is about 8886.3220738391. The cubic root of 78966720 is about 429.0237814257.

The spelling of 78966720 in words is "seventy-eight million, nine hundred sixty-six thousand, seven hundred twenty".