76997400480 has 1296 divisors, whose sum is σ = 361675982304. Its totient is φ = 14743572480.

The previous prime is 76997400463. The next prime is 76997400523. The reversal of 76997400480 is 8400479967.

It is a happy number.

76997400480 is a `hidden beast` number, since 7 + 6 + 99 + 74 + 0 + 0 + 480 = 666.

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 215 ways as a sum of consecutive naturals, for example, 131170747 + ... + 131171333.

It is an arithmetic number, because the mean of its divisors is an integer number (279070974).

Almost surely, 2^76997400480 is an apocalyptic number.

76997400480 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 76997400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180837991152).

76997400480 is an abundant number, since it is smaller than the sum of its proper divisors (284678581824).

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

76997400480 is a wasteful number, since it uses less digits than its factorization.

76997400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 76997400480 in words is "seventy-six billion, nine hundred ninety-seven million, four hundred thousand, four hundred eighty".