797627610000 has 675 divisors, whose sum is σ = 3033742625199. Its totient is φ = 195481728000.

The previous prime is 797627609971. The next prime is 797627610007. The reversal of 797627610000 is 16726797.

The square root of 797627610000 is 893100.

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

797627610000 is a `hidden beast` number, since 7 + 9 + 7 + 6 + 27 + 610 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 778834490256 + 18793119744 = 882516^2 + 137088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (797627610007) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3483089886 + ... + 3483090114.

Almost surely, 2^797627610000 is an apocalyptic number.

797627610000 is the 893100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797627610000

797627610000 is an abundant number, since it is smaller than the sum of its proper divisors (2236115015199).

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

797627610000 is a wasteful number, since it uses less digits than its factorization.

797627610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

It can be divided in two parts, 7976276 and 10000, that added together give a square (7986276 = 2826²).

The spelling of 797627610000 in words is "seven hundred ninety-seven billion, six hundred twenty-seven million, six hundred ten thousand".