78605538869700 has 864 divisors, whose sum is σ = 256866748538400. Its totient is φ = 20095539609600.

The previous prime is 78605538869657. The next prime is 78605538869701. The reversal of 78605538869700 is 796883550687.

78605538869700 is a `hidden beast` number, since 7 + 8 + 6 + 0 + 5 + 538 + 86 + 9 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 65468553117696 + 13136985752004 = 8091264^2 + 3624498^2 .

It is not an unprimeable number, because it can be changed into a prime (78605538869701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 175068015076 + ... + 175068015524.

It is an arithmetic number, because the mean of its divisors is an integer number (297299477475).

Almost surely, 2^{78605538869700} 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 78605538869700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128433374269200).

78605538869700 is an abundant number, since it is smaller than the sum of its proper divisors (178261209668700).

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

78605538869700 is a wasteful number, since it uses less digits than its factorization.

78605538869700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 78605538869700 in words is "seventy-eight trillion, six hundred five billion, five hundred thirty-eight million, eight hundred sixty-nine thousand, seven hundred".