78562748880 has 800 divisors, whose sum is σ = 358137077760. Its totient is φ = 15463664640.

The previous prime is 78562748857. The next prime is 78562748909. The reversal of 78562748880 is 8884726587.

78562748880 is a `hidden beast` number, since 7 + 8 + 56 + 27 + 488 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9476097 + ... + 9484383.

Almost surely, 2^78562748880 is an apocalyptic number.

78562748880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78562748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179068538880).

78562748880 is an abundant number, since it is smaller than the sum of its proper divisors (279574328880).

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

78562748880 is a wasteful number, since it uses less digits than its factorization.

78562748880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8349 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 78562748880 in words is "seventy-eight billion, five hundred sixty-two million, seven hundred forty-eight thousand, eight hundred eighty".