7905874000 has 40 divisors (see below), whose sum is σ = 19116408168. Its totient is φ = 3162348800.

The previous prime is 7905873979. The next prime is 7905874001. The reversal of 7905874000 is 4785097.

It can be written as a sum of positive squares in 4 ways, for example, as 962985024 + 6942888976 = 31032^2 + 83324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905874001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1974469 + ... + 1978468.

Almost surely, 2^7905874000 is an apocalyptic number.

It is an amenable number.

7905874000 is an abundant number, since it is smaller than the sum of its proper divisors (11210534168).

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

7905874000 is a wasteful number, since it uses less digits than its factorization.

7905874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952960 (or 3952944 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 7905874000 is about 88914.9818647004. The cubic root of 7905874000 is about 1992.1252011327.

The spelling of 7905874000 in words is "seven billion, nine hundred five million, eight hundred seventy-four thousand".