76681672200 has 576 divisors, whose sum is σ = 313010680320. Its totient is φ = 16422912000.

The previous prime is 76681672187. The next prime is 76681672201. The reversal of 76681672200 is 227618667.

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

It is not an unprimeable number, because it can be changed into a prime (76681672201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 58047540 + ... + 58048860.

It is an arithmetic number, because the mean of its divisors is an integer number (543421320).

Almost surely, 2^76681672200 is an apocalyptic number.

76681672200 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 76681672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156505340160).

76681672200 is an abundant number, since it is smaller than the sum of its proper divisors (236329008120).

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

76681672200 is a wasteful number, since it uses less digits than its factorization.

76681672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76681672200 in words is "seventy-six billion, six hundred eighty-one million, six hundred seventy-two thousand, two hundred".