772480 has 64 divisors (see below), whose sum is σ = 1982880. Its totient is φ = 286720.

The previous prime is 772477. The next prime is 772493. The reversal of 772480 is 84277.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10845 + ... + 10915.

2⁷⁷²⁴⁸⁰ 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 772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991440).

772480 is an abundant number, since it is smaller than the sum of its proper divisors (1210400).

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

772480 is a wasteful number, since it uses less digits than its factorization.

772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 772480 is about 878.9084138862. The cubic root of 772480 is about 91.7548609412.

The spelling of 772480 in words is "seven hundred seventy-two thousand, four hundred eighty".