7978260900 has 72 divisors (see below), whose sum is σ = 23175954144. Its totient is φ = 2119040000.

The previous prime is 7978260887. The next prime is 7978260919. The reversal of 7978260900 is 90628797.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7978260900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22324 + ... + 128276.

It is an arithmetic number, because the mean of its divisors is an integer number (321888252).

Almost surely, 2^7978260900 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 7978260900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587977072).

7978260900 is an abundant number, since it is smaller than the sum of its proper divisors (15197693244).

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

7978260900 is a wasteful number, since it uses less digits than its factorization.

7978260900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106221 (or 106214 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 7978260900 is about 89321.1111663978. Note that the first 4 decimals coincide. The cubic root of 7978260900 is about 1998.1867649194.

The spelling of 7978260900 in words is "seven billion, nine hundred seventy-eight million, two hundred sixty thousand, nine hundred".