772002 has 48 divisors (see below), whose sum is σ = 2089152. Its totient is φ = 200160.

The previous prime is 772001. The next prime is 772003. The reversal of 772002 is 200277.

It is an interprime number because it is at equal distance from previous prime (772001) and next prime (772003).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (772001) 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 23 ways as a sum of consecutive naturals, for example, 1108 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2⁷⁷²⁰⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576).

772002 is an abundant number, since it is smaller than the sum of its proper divisors (1317150).

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

772002 is a wasteful number, since it uses less digits than its factorization.

772002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 772002 is about 878.6364435874. The cubic root of 772002 is about 91.7359314876.

Adding to 772002 its reverse (200277), we get a palindrome (972279).

The spelling of 772002 in words is "seven hundred seventy-two thousand, two", and thus it is an iban number.