76926816960 has 1344 divisors, whose sum is σ = 325734151680. Its totient is φ = 15235153920.

The previous prime is 76926816959. The next prime is 76926816961. The reversal of 76926816960 is 6961862967.

It is an interprime number because it is at equal distance from previous prime (76926816959) and next prime (76926816961).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 76926816894 and 76926816903.

It is not an unprimeable number, because it can be changed into a prime (76926816961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 926829079 + ... + 926829161.

It is an arithmetic number, because the mean of its divisors is an integer number (242361720).

Almost surely, 2^76926816960 is an apocalyptic number.

76926816960 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 76926816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162867075840).

76926816960 is an abundant number, since it is smaller than the sum of its proper divisors (248807334720).

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

76926816960 is a wasteful number, since it uses less digits than its factorization.

76926816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 76926816960 in words is "seventy-six billion, nine hundred twenty-six million, eight hundred sixteen thousand, nine hundred sixty".