7805640100 has 72 divisors (see below), whose sum is σ = 18001847808. Its totient is φ = 2927577600.

The previous prime is 7805640079. The next prime is 7805640113. The reversal of 7805640100 is 10465087.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452229 + ... + 469171.

It is an arithmetic number, because the mean of its divisors is an integer number (250025664).

Almost surely, 2^7805640100 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 7805640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9000923904).

7805640100 is an abundant number, since it is smaller than the sum of its proper divisors (10196207708).

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

7805640100 is a wasteful number, since it uses less digits than its factorization.

7805640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17245 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 7805640100 is about 88349.5336716612. The cubic root of 7805640100 is about 1983.6703762272.

The spelling of 7805640100 in words is "seven billion, eight hundred five million, six hundred forty thousand, one hundred".