76513663800 has 768 divisors, whose sum is σ = 313979904000. Its totient is φ = 16756346880.

The previous prime is 76513663769. The next prime is 76513663847. The reversal of 76513663800 is 836631567.

76513663800 is a `hidden beast` number, since 7 + 6 + 5 + 1 + 3 + 6 + 638 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 244452444 + ... + 244452756.

It is an arithmetic number, because the mean of its divisors is an integer number (408828000).

Almost surely, 2^76513663800 is an apocalyptic number.

76513663800 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 76513663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156989952000).

76513663800 is an abundant number, since it is smaller than the sum of its proper divisors (237466240200).

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

76513663800 is a wasteful number, since it uses less digits than its factorization.

76513663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 76513663800 in words is "seventy-six billion, five hundred thirteen million, six hundred sixty-three thousand, eight hundred".