772500 has 60 divisors (see below), whose sum is σ = 2274272. Its totient is φ = 204000.

The previous prime is 772493. The next prime is 772517. The reversal of 772500 is 5277.

772500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

772500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7449 + ... + 7551.

2⁷⁷²⁵⁰⁰ 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 772500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137136).

772500 is an abundant number, since it is smaller than the sum of its proper divisors (1501772).

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

772500 is a wasteful number, since it uses less digits than its factorization.

772500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 772500 is about 878.9197915623. The cubic root of 772500 is about 91.7556527984.

Adding to 772500 its reverse (5277), we get a palindrome (777777).

The spelling of 772500 in words is "seven hundred seventy-two thousand, five hundred".