77937280198272 has 192 divisors, whose sum is σ = 259052892284160. Its totient is φ = 22228101242880.

The previous prime is 77937280198189. The next prime is 77937280198307. The reversal of 77937280198272 is 27289108273977.

77937280198272 is a `hidden beast` number, since 7 + 7 + 93 + 7 + 2 + 80 + 198 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 77937280198272.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180677328 + ... + 181108175.

It is an arithmetic number, because the mean of its divisors is an integer number (1349233813980).

Almost surely, 2^{77937280198272} is an apocalyptic number.

77937280198272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77937280198272 is an abundant number, since it is smaller than the sum of its proper divisors (181115612085888).

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

77937280198272 is a wasteful number, since it uses less digits than its factorization.

77937280198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361785551 (or 361785536 counting only the distinct ones).

The product of its (nonzero) digits is 298722816, while the sum is 72.

The spelling of 77937280198272 in words is "seventy-seven trillion, nine hundred thirty-seven billion, two hundred eighty million, one hundred ninety-eight thousand, two hundred seventy-two".