78730496 has 72 divisors (see below), whose sum is σ = 173670504. Its totient is φ = 35389440.

The previous prime is 78730489. The next prime is 78730507. The reversal of 78730496 is 69403787.

It can be written as a sum of positive squares in 4 ways, for example, as 5456896 + 73273600 = 2336^2 + 8560^2 .

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136160 + ... + 136736.

Almost surely, 2^78730496 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 78730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86835252).

78730496 is an abundant number, since it is smaller than the sum of its proper divisors (94940008).

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

78730496 is a wasteful number, since it uses less digits than its factorization.

78730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 78730496 is about 8873.0206806927. The cubic root of 78730496 is about 428.5955548746.

The spelling of 78730496 in words is "seventy-eight million, seven hundred thirty thousand, four hundred ninety-six".