7957000 has 64 divisors (see below), whose sum is σ = 19047600. Its totient is φ = 3110400.

The previous prime is 7956989. The next prime is 7957013. The reversal of 7957000 is 7597.

7957000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 763876 + 7193124 = 874^2 + 2682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7957000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72946 + ... + 73054.

Almost surely, 2^7957000 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 7957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523800).

7957000 is an abundant number, since it is smaller than the sum of its proper divisors (11090600).

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

7957000 is a wasteful number, since it uses less digits than its factorization.

7957000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 7957000 is about 2820.8154849263. The cubic root of 7957000 is about 199.6410227288.

The spelling of 7957000 in words is "seven million, nine hundred fifty-seven thousand".