781411800625 has 45 divisors (see below), whose sum is σ = 1031103318663. Its totient is φ = 591909660000.

The previous prime is 781411800571. The next prime is 781411800661. The reversal of 781411800625 is 526008114187.

The square root of 781411800625 is 883975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 733203450529 + 48208350096 = 856273^2 + 219564^2 .

It is not a de Polignac number, because 781411800625 - 2¹¹ = 781411798577 is a prime.

It is a super-2 number, since 2×781411800625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 419887195 + ... + 419889055.

Almost surely, 2^781411800625 is an apocalyptic number.

781411800625 is the 883975-th square number.

781411800625 is the 441988-th centered octagonal number.

It is an amenable number.

781411800625 is a deficient number, since it is larger than the sum of its proper divisors (249691518038).

781411800625 is an frugal number, since it uses more digits than its factorization.

781411800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 43.

The spelling of 781411800625 in words is "seven hundred eighty-one billion, four hundred eleven million, eight hundred thousand, six hundred twenty-five".