78166202400 has 1296 divisors, whose sum is σ = 338839562880. Its totient is φ = 16713216000.

The previous prime is 78166202377. The next prime is 78166202417. The reversal of 78166202400 is 420266187.

78166202400 is a `hidden beast` number, since 7 + 8 + 1 + 6 + 620 + 24 + 0 + 0 = 666.

It is a super-2 number, since 2×78166202400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 989445561 + ... + 989445639.

It is an arithmetic number, because the mean of its divisors is an integer number (261450280).

Almost surely, 2^78166202400 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 78166202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169419781440).

78166202400 is an abundant number, since it is smaller than the sum of its proper divisors (260673360480).

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

78166202400 is a wasteful number, since it uses less digits than its factorization.

78166202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 78166202400 its reverse (420266187), we get a palindrome (78586468587).

The spelling of 78166202400 in words is "seventy-eight billion, one hundred sixty-six million, two hundred two thousand, four hundred".