78770304 has 96 divisors (see below), whose sum is σ = 229252140. Its totient is φ = 25958400.

The previous prime is 78770269. The next prime is 78770317. The reversal of 78770304 is 40307787.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50126400 + 28643904 = 7080^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116014 + ... + 116690.

Almost surely, 2^78770304 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 78770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114626070).

78770304 is an abundant number, since it is smaller than the sum of its proper divisors (150481836).

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

78770304 is a wasteful number, since it uses less digits than its factorization.

78770304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 78770304 is about 8875.2636017191. The cubic root of 78770304 is about 428.6677787182.

The spelling of 78770304 in words is "seventy-eight million, seven hundred seventy thousand, three hundred four".