7953790 has 64 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 2672640.

The previous prime is 7953787. The next prime is 7953793. The reversal of 7953790 is 973597.

It is an interprime number because it is at equal distance from previous prime (7953787) and next prime (7953793).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7953793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130360 + ... + 130420.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 2^7953790 is an apocalyptic number.

7953790 is an abundant number, since it is smaller than the sum of its proper divisors (8920130).

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

7953790 is a wasteful number, since it uses less digits than its factorization.

7953790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 59535, while the sum is 40.

The square root of 7953790 is about 2820.2464431322. The cubic root of 7953790 is about 199.6141728323.

The spelling of 7953790 in words is "seven million, nine hundred fifty-three thousand, seven hundred ninety".