77991350976 has 672 divisors, whose sum is σ = 301269196800. Its totient is φ = 19056844800.

The previous prime is 77991350971. The next prime is 77991350981. The reversal of 77991350976 is 67905319977.

It is an interprime number because it is at equal distance from previous prime (77991350971) and next prime (77991350981).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77991350971) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 36944161 + ... + 36946271.

Almost surely, 2^77991350976 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 77991350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150634598400).

77991350976 is an abundant number, since it is smaller than the sum of its proper divisors (223277845824).

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

77991350976 is a wasteful number, since it uses less digits than its factorization.

77991350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 77991350976 in words is "seventy-seven billion, nine hundred ninety-one million, three hundred fifty thousand, nine hundred seventy-six".