7992801 has 12 divisors (see below), whose sum is σ = 11579412. Its totient is φ = 5312736.

The previous prime is 7992791. The next prime is 7992821. The reversal of 7992801 is 1082997.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 2117025 = 2424^2 + 1455^2 .

It is not a de Polignac number, because 7992801 - 2¹⁰ = 7991777 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

7992801 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7992821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455 + ... + 4691.

It is an arithmetic number, because the mean of its divisors is an integer number (964951).

Almost surely, 2^7992801 is an apocalyptic number.

It is an amenable number.

7992801 is a deficient number, since it is larger than the sum of its proper divisors (3586611).

7992801 is a wasteful number, since it uses less digits than its factorization.

7992801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 7992801 is about 2827.1542228892. The cubic root of 7992801 is about 199.9399903293.

It can be divided in two parts, 799 and 2801, that added together give a square (3600 = 60²).

The spelling of 7992801 in words is "seven million, nine hundred ninety-two thousand, eight hundred one".