7801164 has 96 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 2094336.

The previous prime is 7801159. The next prime is 7801169. The reversal of 7801164 is 4611087.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7801159) and next prime (7801169).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7801169) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12549 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 2^7801164 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 7801164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

7801164 is an abundant number, since it is smaller than the sum of its proper divisors (16713396).

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

7801164 is a wasteful number, since it uses less digits than its factorization.

7801164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7801164 is about 2793.0563904082. The cubic root of 7801164 is about 198.3291128887.

The spelling of 7801164 in words is "seven million, eight hundred one thousand, one hundred sixty-four".