78906086400 has 264 divisors, whose sum is σ = 265079687584. Its totient is φ = 20695449600.

The previous prime is 78906086393. The next prime is 78906086401. The reversal of 78906086400 is 468060987.

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 78906086400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78906086401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4676379 + ... + 4693221.

Almost surely, 2^78906086400 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 78906086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132539843792).

78906086400 is an abundant number, since it is smaller than the sum of its proper divisors (186173601184).

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

78906086400 is a wasteful number, since it uses less digits than its factorization.

78906086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937 (or 16914 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 78906086400 in words is "seventy-eight billion, nine hundred six million, eighty-six thousand, four hundred".