76987963080 has 480 divisors, whose sum is σ = 310742403840. Its totient is φ = 17028506880.

The previous prime is 76987963079. The next prime is 76987963123. The reversal of 76987963080 is 8036978967.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 76987962999 and 76987963017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4913739 + ... + 4929381.

It is an arithmetic number, because the mean of its divisors is an integer number (647380008).

Almost surely, 2^76987963080 is an apocalyptic number.

76987963080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76987963080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155371201920).

76987963080 is an abundant number, since it is smaller than the sum of its proper divisors (233754440760).

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

76987963080 is a wasteful number, since it uses less digits than its factorization.

76987963080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 76987963080 in words is "seventy-six billion, nine hundred eighty-seven million, nine hundred sixty-three thousand, eighty".