76222855800 has 1152 divisors, whose sum is σ = 344737935360. Its totient is φ = 14631321600.

The previous prime is 76222855799. The next prime is 76222855879. The reversal of 76222855800 is 855822267.

76222855800 is a `hidden beast` number, since 7 + 62 + 2 + 2 + 8 + 5 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86322159 + ... + 86323041.

It is an arithmetic number, because the mean of its divisors is an integer number (299251680).

Almost surely, 2^76222855800 is an apocalyptic number.

76222855800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76222855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368967680).

76222855800 is an abundant number, since it is smaller than the sum of its proper divisors (268515079560).

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

76222855800 is a wasteful number, since it uses less digits than its factorization.

76222855800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 76222855800 in words is "seventy-six billion, two hundred twenty-two million, eight hundred fifty-five thousand, eight hundred".