76880806200 has 288 divisors, whose sum is σ = 282000700800. Its totient is φ = 18615456000.

The previous prime is 76880806147. The next prime is 76880806229. The reversal of 76880806200 is 260808867.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21600021 + ... + 21603579.

It is an arithmetic number, because the mean of its divisors is an integer number (979169100).

Almost surely, 2^76880806200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76880806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141000350400).

76880806200 is an abundant number, since it is smaller than the sum of its proper divisors (205119894600).

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

76880806200 is a wasteful number, since it uses less digits than its factorization.

76880806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 76880806200 in words is "seventy-six billion, eight hundred eighty million, eight hundred six thousand, two hundred".