7902 has 12 divisors (see below), whose sum is σ = 17160. Its totient is φ = 2628.

The previous prime is 7901. The next prime is 7907. The reversal of 7902 is 2097.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 439 = 7902 / (7 + 9 + 0 + 2).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 202 + ... + 237.

It is an arithmetic number, because the mean of its divisors is an integer number (1430).

2⁷⁹⁰² is an apocalyptic number.

7902 is an abundant number, since it is smaller than the sum of its proper divisors (9258).

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

7902 is a wasteful number, since it uses less digits than its factorization.

7902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7902 is about 88.8931943402. The cubic root of 7902 is about 19.9179975729.

Subtracting from 7902 its product of nonzero digits (126), we obtain a 5-th power (7776 = 6⁵).

Adding to 7902 its reverse (2097), we get a palindrome (9999).

It can be divided in two parts, 7 and 902, that added together give a palindrome (909).

The spelling of 7902 in words is "seven thousand, nine hundred two".