76552801200 has 720 divisors, whose sum is σ = 292955852800. Its totient is φ = 18438451200.

The previous prime is 76552801183. The next prime is 76552801207. The reversal of 76552801200 is 210825567.

It is a happy number.

76552801200 is a `hidden beast` number, since 7 + 6 + 5 + 528 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (76552801207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167511372 + ... + 167511828.

Almost surely, 2^76552801200 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 76552801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146477926400).

76552801200 is an abundant number, since it is smaller than the sum of its proper divisors (216403051600).

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

76552801200 is a wasteful number, since it uses less digits than its factorization.

76552801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 76552801200 in words is "seventy-six billion, five hundred fifty-two million, eight hundred one thousand, two hundred".