76011982200 has 576 divisors, whose sum is σ = 328916448000. Its totient is φ = 15793747200.

The previous prime is 76011982187. The next prime is 76011982253. The reversal of 76011982200 is 228911067.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 4565491 + ... + 4582109.

It is an arithmetic number, because the mean of its divisors is an integer number (571035500).

Almost surely, 2^76011982200 is an apocalyptic number.

76011982200 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 76011982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164458224000).

76011982200 is an abundant number, since it is smaller than the sum of its proper divisors (252904465800).

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

76011982200 is a wasteful number, since it uses less digits than its factorization.

76011982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16673 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 760 and 11982200, that added together give a triangular number (11982960 = T₄₈₉₅).

The spelling of 76011982200 in words is "seventy-six billion, eleven million, nine hundred eighty-two thousand, two hundred".