762801358225 has 27 divisors (see below), whose sum is σ = 972334720371. Its totient is φ = 593622316800.

The previous prime is 762801358217. The next prime is 762801358289. The reversal of 762801358225 is 522853108267.

The square root of 762801358225 is 873385.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 133482814609 + 629318543616 = 365353^2 + 793296^2 .

It is not a de Polignac number, because 762801358225 - 2³ = 762801358217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 161573865 + ... + 161578585.

Almost surely, 2^762801358225 is an apocalyptic number.

762801358225 is the 873385-th square number.

762801358225 is the 436693-rd centered octagonal number.

It is an amenable number.

762801358225 is a deficient number, since it is larger than the sum of its proper divisors (209533362146).

762801358225 is an frugal number, since it uses more digits than its factorization.

762801358225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 762801358225 by its sum of digits (49), we get a square (37377266553025 = 6113695²).

The spelling of 762801358225 in words is "seven hundred sixty-two billion, eight hundred one million, three hundred fifty-eight thousand, two hundred twenty-five".