78801022800 has 240 divisors, whose sum is σ = 281949096960. Its totient is φ = 20903040000.

The previous prime is 78801022759. The next prime is 78801022837. The reversal of 78801022800 is 822010887.

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

It is a super-2 number, since 2×78801022800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 2043700 + ... + 2081900.

It is an arithmetic number, because the mean of its divisors is an integer number (1174787904).

Almost surely, 2^78801022800 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 78801022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140974548480).

78801022800 is an abundant number, since it is smaller than the sum of its proper divisors (203148074160).

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

78801022800 is a wasteful number, since it uses less digits than its factorization.

78801022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38419 (or 38402 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 78801022800 in words is "seventy-eight billion, eight hundred one million, twenty-two thousand, eight hundred".