78225945800 has 36 divisors (see below), whose sum is σ = 181884520755. Its totient is φ = 31288796160.

The previous prime is 78225945799. The next prime is 78225945883. The reversal of 78225945800 is 854952287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 25655710276 + 52570235524 = 160174^2 + 229282^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=197770.

It is a super-2 number, since 2×78225945800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3945512 + ... + 3965288.

Almost surely, 2^78225945800 is an apocalyptic number.

It is an amenable number.

78225945800 is an abundant number, since it is smaller than the sum of its proper divisors (103658574955).

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

78225945800 is an frugal number, since it uses more digits than its factorization.

78225945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39570 (or 19784 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 50.

Multiplying 78225945800 by its sum of digits (50), we get a square (3911297290000 = 1977700²).

78225945800 divided by its sum of digits (50) gives a square (1564518916 = 39554²).

The spelling of 78225945800 in words is "seventy-eight billion, two hundred twenty-five million, nine hundred forty-five thousand, eight hundred".