78280816795900 has 144 divisors (see below), whose sum is σ = 171036979807680. Its totient is φ = 31098005452800.

The previous prime is 78280816795817. The next prime is 78280816795903. The reversal of 78280816795900 is 959761808287.

It is a super-2 number, since 2×78280816795900² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78280816795900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78280816795903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12310236921 + ... + 12310243279.

It is an arithmetic number, because the mean of its divisors is an integer number (1187756804220).

Almost surely, 2^{78280816795900} is an apocalyptic number.

It is an amenable number.

78280816795900 is an abundant number, since it is smaller than the sum of its proper divisors (92756163011780).

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

78280816795900 is a wasteful number, since it uses less digits than its factorization.

78280816795900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 70.

The spelling of 78280816795900 in words is "seventy-eight trillion, two hundred eighty billion, eight hundred sixteen million, seven hundred ninety-five thousand, nine hundred".