7922780100 has 405 divisors, whose sum is σ = 27486589053. Its totient is φ = 1973885760.

The previous prime is 7922780059. The next prime is 7922780149. The reversal of 7922780100 is 10872297.

The square root of 7922780100 is 89010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2852200836 + 5070579264 = 53406^2 + 71208^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 134 ways as a sum of consecutive naturals, for example, 184250679 + ... + 184250721.

Almost surely, 2^7922780100 is an apocalyptic number.

7922780100 is the 89010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7922780100

7922780100 is an abundant number, since it is smaller than the sum of its proper divisors (19563808953).

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

7922780100 is a wasteful number, since it uses less digits than its factorization.

7922780100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The cubic root of 7922780100 is about 1993.5441920268.

Multiplying 7922780100 by its sum of digits (36), we get a square (285220083600 = 534060²).

7922780100 divided by its sum of digits (36) gives a square (220077225 = 14835²).

The spelling of 7922780100 in words is "seven billion, nine hundred twenty-two million, seven hundred eighty thousand, one hundred".