77980431600 has 180 divisors, whose sum is σ = 279945642600. Its totient is φ = 20077693440.

The previous prime is 77980431589. The next prime is 77980431649. The reversal of 77980431600 is 613408977.

77980431600 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 0 + 4 + 31 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269070 + ... + 477869.

It is an arithmetic number, because the mean of its divisors is an integer number (1555253570).

Almost surely, 2^77980431600 is an apocalyptic number.

It is an amenable number.

77980431600 is an abundant number, since it is smaller than the sum of its proper divisors (201965211000).

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

77980431600 is a wasteful number, since it uses less digits than its factorization.

77980431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746992 (or 746978 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 77980431600 in words is "seventy-seven billion, nine hundred eighty million, four hundred thirty-one thousand, six hundred".