76045285200 has 240 divisors, whose sum is σ = 246724833600. Its totient is φ = 20019855360.

The previous prime is 76045285193. The next prime is 76045285231. The reversal of 76045285200 is 258254067.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×76045285200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44810752 + ... + 44812448.

It is an arithmetic number, because the mean of its divisors is an integer number (1028020140).

Almost surely, 2^76045285200 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 76045285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123362416800).

76045285200 is an abundant number, since it is smaller than the sum of its proper divisors (170679548400).

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

76045285200 is a wasteful number, since it uses less digits than its factorization.

76045285200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 76045285200 in words is "seventy-six billion, forty-five million, two hundred eighty-five thousand, two hundred".