7883909308900 has 81 divisors (see below), whose sum is σ = 17396920766043. Its totient is φ = 3101192078400.

The previous prime is 7883909308889. The next prime is 7883909308901. The reversal of 7883909308900 is 98039093887.

The square root of 7883909308900 is 2807830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3631471432164 + 4252437876736 = 1905642^2 + 2062144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7883909308901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1712773999 + ... + 1712778601.

Almost surely, 2^{7883909308900} is an apocalyptic number.

7883909308900 is the 2807830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7883909308900

7883909308900 is an abundant number, since it is smaller than the sum of its proper divisors (9513011457143).

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

7883909308900 is an frugal number, since it uses more digits than its factorization.

7883909308900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

Multiplying 7883909308900 by its sum of digits (64), we get a square (504570195769600 = 22462640²).

The spelling of 7883909308900 in words is "seven trillion, eight hundred eighty-three billion, nine hundred nine million, three hundred eight thousand, nine hundred".