76373134200 has 480 divisors, whose sum is σ = 296128546560. Its totient is φ = 18082310400.

The previous prime is 76373134177. The next prime is 76373134213. The reversal of 76373134200 is 243137367.

76373134200 is a `hidden beast` number, since 7 + 637 + 3 + 13 + 4 + 2 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7657617 + ... + 7667583.

It is an arithmetic number, because the mean of its divisors is an integer number (616934472).

Almost surely, 2^76373134200 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 76373134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148064273280).

76373134200 is an abundant number, since it is smaller than the sum of its proper divisors (219755412360).

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

76373134200 is a wasteful number, since it uses less digits than its factorization.

76373134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10049 (or 10031 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 76373134200 in words is "seventy-six billion, three hundred seventy-three million, one hundred thirty-four thousand, two hundred".