78586226400 has 288 divisors, whose sum is σ = 295469088768. Its totient is φ = 17930444800.

The previous prime is 78586226387. The next prime is 78586226431. The reversal of 78586226400 is 462268587.

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 78586226400.

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, 361249 + ... + 536351.

It is an arithmetic number, because the mean of its divisors is an integer number (1025934336).

Almost surely, 2^78586226400 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 78586226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147734544384).

78586226400 is an abundant number, since it is smaller than the sum of its proper divisors (216882862368).

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

78586226400 is a wasteful number, since it uses less digits than its factorization.

78586226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175154 (or 175141 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 78586226400 in words is "seventy-eight billion, five hundred eighty-six million, two hundred twenty-six thousand, four hundred".