76422298800 has 240 divisors, whose sum is σ = 249772049280. Its totient is φ = 19968184320.

The previous prime is 76422298793. The next prime is 76422298853. The reversal of 76422298800 is 889222467.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76422298800.

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, 23857999 + ... + 23861201.

It is an arithmetic number, because the mean of its divisors is an integer number (1040716872).

Almost surely, 2^76422298800 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 76422298800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124886024640).

76422298800 is an abundant number, since it is smaller than the sum of its proper divisors (173349750480).

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

76422298800 is a wasteful number, since it uses less digits than its factorization.

76422298800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 76422298800 in words is "seventy-six billion, four hundred twenty-two million, two hundred ninety-eight thousand, eight hundred".