7835920 has 40 divisors (see below), whose sum is σ = 18670680. Its totient is φ = 3056640.

The previous prime is 7835917. The next prime is 7835957. The reversal of 7835920 is 295387.

7835920 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 85264 + 7750656 = 292^2 + 2784^2 .

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

It is a super-2 number, since 2×7835920² = 122803284492800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2086 + ... + 4474.

It is an arithmetic number, because the mean of its divisors is an integer number (466767).

Almost surely, 2^7835920 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 7835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335340).

7835920 is an abundant number, since it is smaller than the sum of its proper divisors (10834760).

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

7835920 is a wasteful number, since it uses less digits than its factorization.

7835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 7835920 is about 2799.2713337581. The cubic root of 7835920 is about 198.6232106705.

The spelling of 7835920 in words is "seven million, eight hundred thirty-five thousand, nine hundred twenty".