79002 has 64 divisors (see below), whose sum is σ = 230400. Its totient is φ = 19440.

The previous prime is 78989. The next prime is 79031. The reversal of 79002 is 20097.

79002 = 39² + 40² + ... + 66².

79002 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4149 + ... + 4167.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁷⁹⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

79002 is an abundant number, since it is smaller than the sum of its proper divisors (151398).

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

79002 is a wasteful number, since it uses less digits than its factorization.

79002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

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

The square root of 79002 is about 281.0729442689. The cubic root of 79002 is about 42.9087663634.

Adding to 79002 its reverse (20097), we get a palindrome (99099).

It can be divided in two parts, 7 and 9002, that added together give a palindrome (9009).

The spelling of 79002 in words is "seventy-nine thousand, two".