772563 has 16 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 456000.

The previous prime is 772537. The next prime is 772567. The reversal of 772563 is 365277.

It is not a de Polignac number, because 772563 - 2¹⁴ = 756179 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 772563.

It is not an unprimeable number, because it can be changed into a prime (772567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068 + ... + 1638.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2⁷⁷²⁵⁶³ is an apocalyptic number.

772563 is a deficient number, since it is larger than the sum of its proper divisors (380589).

772563 is a wasteful number, since it uses less digits than its factorization.

772563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626.

The product of its digits is 8820, while the sum is 30.

The square root of 772563 is about 878.9556302795. The cubic root of 772563 is about 91.7581470590.

The spelling of 772563 in words is "seven hundred seventy-two thousand, five hundred sixty-three".