76966720992 has 720 divisors, whose sum is σ = 285630150960. Its totient is φ = 20191223808.

The previous prime is 76966720973. The next prime is 76966721003. The reversal of 76966720992 is 29902766967.

It is a super-2 number, since 2×76966720992² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92842434 + ... + 92843262.

It is an arithmetic number, because the mean of its divisors is an integer number (396708543).

Almost surely, 2^76966720992 is an apocalyptic number.

76966720992 is a gapful number since it is divisible by the number (72) 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 76966720992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142815075480).

76966720992 is an abundant number, since it is smaller than the sum of its proper divisors (208663429968).

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

76966720992 is a wasteful number, since it uses less digits than its factorization.

76966720992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 76966720992 in words is "seventy-six billion, nine hundred sixty-six million, seven hundred twenty thousand, nine hundred ninety-two".