7820160 has 64 divisors (see below), whose sum is σ = 24932880. Its totient is φ = 2084864.

The previous prime is 7820159. The next prime is 7820171. The reversal of 7820160 is 610287.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7820160² = 122309804851200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7820160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 3956.

Almost surely, 2^7820160 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 7820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466440).

7820160 is an abundant number, since it is smaller than the sum of its proper divisors (17112720).

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

7820160 is a wasteful number, since it uses less digits than its factorization.

7820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7820160 is about 2796.4548986172. The cubic root of 7820160 is about 198.4899609370.

The spelling of 7820160 in words is "seven million, eight hundred twenty thousand, one hundred sixty".