76990501969920 has 4032 divisors, whose sum is σ = 357122314838016. Its totient is φ = 15731596984320.

The previous prime is 76990501969903. The next prime is 76990501969939. The reversal of 76990501969920 is 2996910509967.

It is a happy number.

76990501969920 is a `hidden beast` number, since 7 + 6 + 9 + 9 + 0 + 501 + 9 + 6 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 287 ways as a sum of consecutive naturals, for example, 606224424897 + ... + 606224425023.

It is an arithmetic number, because the mean of its divisors is an integer number (88572002688).

Almost surely, 2^{76990501969920} is an apocalyptic number.

76990501969920 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 76990501969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178561157419008).

76990501969920 is an abundant number, since it is smaller than the sum of its proper divisors (280131812868096).

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

76990501969920 is a wasteful number, since it uses less digits than its factorization.

76990501969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 148803480, while the sum is 72.

The spelling of 76990501969920 in words is "seventy-six trillion, nine hundred ninety billion, five hundred one million, nine hundred sixty-nine thousand, nine hundred twenty".