77796782100 has 180 divisors, whose sum is σ = 267021401724. Its totient is φ = 19525432320.

The previous prime is 77796782099. The next prime is 77796782123. The reversal of 77796782100 is 128769777.

It can be written as a sum of positive squares in 6 ways, for example, as 7964491536 + 69832290564 = 89244^2 + 264258^2 .

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

It is a super-2 number, since 2×77796782100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 144787 + ... + 420186.

Almost surely, 2^77796782100 is an apocalyptic number.

It is an amenable number.

77796782100 is an abundant number, since it is smaller than the sum of its proper divisors (189224619624).

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

77796782100 is a wasteful number, since it uses less digits than its factorization.

77796782100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565016 (or 565000 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 77796782100 in words is "seventy-seven billion, seven hundred ninety-six million, seven hundred eighty-two thousand, one hundred".