7954856100 has 135 divisors (see below), whose sum is σ = 25812547761. Its totient is φ = 2119154400.

The previous prime is 7954856093. The next prime is 7954856101. The reversal of 7954856100 is 16584597.

The square root of 7954856100 is 89190.

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., 2863748196 + 5091107904 = 53514^2 + 71352^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7954856101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8026605 + ... + 8027595.

Almost surely, 2^7954856100 is an apocalyptic number.

7954856100 is the 89190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7954856100

7954856100 is an abundant number, since it is smaller than the sum of its proper divisors (17857691661).

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

7954856100 is an equidigital number, since it uses as much as digits as its factorization.

7954856100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The cubic root of 7954856100 is about 1996.2309097748.

The spelling of 7954856100 in words is "seven billion, nine hundred fifty-four million, eight hundred fifty-six thousand, one hundred".