78801408 has 180 divisors, whose sum is σ = 265315050. Its totient is φ = 22450176.

The previous prime is 78801377. The next prime is 78801431. The reversal of 78801408 is 80410887.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 19079424 = 7728^2 + 4368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225618 + ... + 225966.

Almost surely, 2^78801408 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 78801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132657525).

78801408 is an abundant number, since it is smaller than the sum of its proper divisors (186513642).

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

78801408 is a wasteful number, since it uses less digits than its factorization.

78801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 78801408 is about 8877.0157147546. The cubic root of 78801408 is about 428.7241939209.

The spelling of 78801408 in words is "seventy-eight million, eight hundred one thousand, four hundred eight".