785509964100 has 243 divisors, whose sum is σ = 2546795581239. Its totient is φ = 202499539200.

The previous prime is 785509964087. The next prime is 785509964111. The reversal of 785509964100 is 1469905587.

The square root of 785509964100 is 886290.

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

785509964100 is a `hidden beast` number, since 7 + 8 + 5 + 509 + 96 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39387165444 + 746122798656 = 198462^2 + 863784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 824249224 + ... + 824250176.

Almost surely, 2^785509964100 is an apocalyptic number.

785509964100 is the 886290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785509964100

785509964100 is an abundant number, since it is smaller than the sum of its proper divisors (1761285617139).

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

785509964100 is a wasteful number, since it uses less digits than its factorization.

785509964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 785509964100 in words is "seven hundred eighty-five billion, five hundred nine million, nine hundred sixty-four thousand, one hundred".