772720 has 40 divisors (see below), whose sum is σ = 1937376. Its totient is φ = 284928.

The previous prime is 772703. The next prime is 772721. The reversal of 772720 is 27277.

772720 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 (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772721) by changing a digit.

772720 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 7 ways as a sum of consecutive naturals, for example, 669 + ... + 1411.

2⁷⁷²⁷²⁰ 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 772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968688).

772720 is an abundant number, since it is smaller than the sum of its proper divisors (1164656).

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

772720 is a wasteful number, since it uses less digits than its factorization.

772720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 772720 is about 879.0449362803. The cubic root of 772720 is about 91.7643623248.

Adding to 772720 its reverse (27277), we get a palindrome (799997).

It can be divided in two parts, 7 and 72720, that added together give a palindrome (72727).

The spelling of 772720 in words is "seven hundred seventy-two thousand, seven hundred twenty", and thus it is an iban number.