76404001075200 has 624 divisors, whose sum is σ = 284633659065600. Its totient is φ = 20087385292800.

The previous prime is 76404001075187. The next prime is 76404001075211. The reversal of 76404001075200 is 257010040467.

76404001075200 is a `hidden beast` number, since 7 + 6 + 40 + 400 + 1 + 0 + 7 + 5 + 200 = 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 47 ways as a sum of consecutive naturals, for example, 196106191 + ... + 196495409.

It is an arithmetic number, because the mean of its divisors is an integer number (456143684400).

Almost surely, 2^{76404001075200} 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 76404001075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142316829532800).

76404001075200 is an abundant number, since it is smaller than the sum of its proper divisors (208229657990400).

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

76404001075200 is a wasteful number, since it uses less digits than its factorization.

76404001075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389333 (or 389300 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 76404001075200 in words is "seventy-six trillion, four hundred four billion, one million, seventy-five thousand, two hundred".