76052275200 has 1008 divisors, whose sum is σ = 309306845952. Its totient is φ = 17842176000.

The previous prime is 76052275183. The next prime is 76052275207. The reversal of 76052275200 is 257225067.

76052275200 is a `hidden beast` number, since 7 + 60 + 52 + 27 + 520 + 0 = 666.

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 (76052275207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2453299185 + ... + 2453299215.

Almost surely, 2^76052275200 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 76052275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154653422976).

76052275200 is an abundant number, since it is smaller than the sum of its proper divisors (233254570752).

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

76052275200 is a wasteful number, since it uses less digits than its factorization.

76052275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 76052275200 in words is "seventy-six billion, fifty-two million, two hundred seventy-five thousand, two hundred".