78338304 has 162 divisors, whose sum is σ = 249152358. Its totient is φ = 23654400.

The previous prime is 78338297. The next prime is 78338321. The reversal of 78338304 is 40383387.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 6969600 = 8448^2 + 2640^2 .

It is a super-2 number, since 2×78338304² = 12273779747192832, which contains 22 as substring.

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, 278644 + ... + 278924.

Almost surely, 2^78338304 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 78338304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124576179).

78338304 is an abundant number, since it is smaller than the sum of its proper divisors (170814054).

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

78338304 is a wasteful number, since it uses less digits than its factorization.

78338304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 78338304 is about 8850.8928363188. The cubic root of 78338304 is about 427.8826941453.

The spelling of 78338304 in words is "seventy-eight million, three hundred thirty-eight thousand, three hundred four".