78738504480 has 288 divisors, whose sum is σ = 275207076144. Its totient is φ = 20492279808.

The previous prime is 78738504469. The next prime is 78738504503. The reversal of 78738504480 is 8440583787.

It is a happy number.

78738504480 is a `hidden beast` number, since 7 + 87 + 3 + 85 + 0 + 4 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 74902931856 + 3835572624 = 273684^2 + 61932^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15032422 + ... + 15037658.

Almost surely, 2^78738504480 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 78738504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137603538072).

78738504480 is an abundant number, since it is smaller than the sum of its proper divisors (196468571664).

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

78738504480 is a wasteful number, since it uses less digits than its factorization.

78738504480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 78738504480 in words is "seventy-eight billion, seven hundred thirty-eight million, five hundred four thousand, four hundred eighty".