772000 has 48 divisors (see below), whose sum is σ = 1906632. Its totient is φ = 307200.

The previous prime is 771997. The next prime is 772001. The reversal of 772000 is 277.

772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 633616 = 372^2 + 796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (772001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904 + ... + 4096.

2⁷⁷²⁰⁰⁰ 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 772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953316).

772000 is an abundant number, since it is smaller than the sum of its proper divisors (1134632).

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

772000 is a wasteful number, since it uses less digits than its factorization.

772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 16.

The square root of 772000 is about 878.6353054596. The cubic root of 772000 is about 91.7358522684.

Adding to 772000 its reverse (277), we get a palindrome (772277).

The spelling of 772000 in words is "seven hundred seventy-two thousand", and thus it is an iban number.