78161630400 has 672 divisors, whose sum is σ = 329755560960. Its totient is φ = 17859916800.

The previous prime is 78161630369. The next prime is 78161630497. The reversal of 78161630400 is 403616187.

78161630400 is a `hidden beast` number, since 7 + 8 + 1 + 616 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×78161630400² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24492805 + ... + 24495995.

It is an arithmetic number, because the mean of its divisors is an integer number (490707680).

Almost surely, 2^78161630400 is an apocalyptic number.

78161630400 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 78161630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164877780480).

78161630400 is an abundant number, since it is smaller than the sum of its proper divisors (251593930560).

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

78161630400 is an equidigital number, since it uses as much as digits as its factorization.

78161630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 78161630400 in words is "seventy-eight billion, one hundred sixty-one million, six hundred thirty thousand, four hundred".