78758222400 has 2016 divisors, whose sum is σ = 363602422400. Its totient is φ = 16422912000.

The previous prime is 78758222369. The next prime is 78758222401. The reversal of 78758222400 is 422285787.

78758222400 is a `hidden beast` number, since 7 + 8 + 7 + 582 + 22 + 40 + 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 not an unprimeable number, because it can be changed into a prime (78758222401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1291118370 + ... + 1291118430.

Almost surely, 2^78758222400 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 78758222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181801211200).

78758222400 is an abundant number, since it is smaller than the sum of its proper divisors (284844200000).

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

78758222400 is a wasteful number, since it uses less digits than its factorization.

78758222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 78758222400 in words is "seventy-eight billion, seven hundred fifty-eight million, two hundred twenty-two thousand, four hundred".