78740496 has 90 divisors (see below), whose sum is σ = 228102030. Its totient is φ = 25355520.

The previous prime is 78740483. The next prime is 78740507. The reversal of 78740496 is 69404787.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 23386896 = 7440^2 + 4836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138100 + ... + 138668.

It is an arithmetic number, because the mean of its divisors is an integer number (2534467).

Almost surely, 2^78740496 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 78740496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114051015).

78740496 is an abundant number, since it is smaller than the sum of its proper divisors (149361534).

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

78740496 is a wasteful number, since it uses less digits than its factorization.

78740496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78740496 is about 8873.5841687562. The cubic root of 78740496 is about 428.6137002114.

The spelling of 78740496 in words is "seventy-eight million, seven hundred forty thousand, four hundred ninety-six".