78552407934 has 576 divisors, whose sum is σ = 244379903040. Its totient is φ = 18752912640.

The previous prime is 78552407881. The next prime is 78552407951. The reversal of 78552407934 is 43970425587.

It is a happy number.

78552407934 is a `hidden beast` number, since 7 + 85 + 524 + 0 + 7 + 9 + 34 = 666.

It is a super-2 number, since 2×78552407934² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337134682 + ... + 337134914.

It is an arithmetic number, because the mean of its divisors is an integer number (424270665).

Almost surely, 2^78552407934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78552407934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122189951520).

78552407934 is an abundant number, since it is smaller than the sum of its proper divisors (165827495106).

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

78552407934 is a wasteful number, since it uses less digits than its factorization.

78552407934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 78552407934 in words is "seventy-eight billion, five hundred fifty-two million, four hundred seven thousand, nine hundred thirty-four".