77516999028 has 288 divisors, whose sum is σ = 238553481600. Its totient is φ = 21971476800.

The previous prime is 77516999009. The next prime is 77516999051. The reversal of 77516999028 is 82099961577.

77516999028 is a `hidden beast` number, since 7 + 7 + 516 + 9 + 9 + 90 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59581978 + ... + 59583278.

It is an arithmetic number, because the mean of its divisors is an integer number (828310700).

Almost surely, 2^77516999028 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 77516999028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119276740800).

77516999028 is an abundant number, since it is smaller than the sum of its proper divisors (161036482572).

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

77516999028 is a wasteful number, since it uses less digits than its factorization.

77516999028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 77516999028 in words is "seventy-seven billion, five hundred sixteen million, nine hundred ninety-nine thousand, twenty-eight".