874299801600 has 405 divisors, whose sum is σ = 3138284688357. Its totient is φ = 232667873280.

The previous prime is 874299801577. The next prime is 874299801643. The reversal of 874299801600 is 6108992478.

The square root of 874299801600 is 935040.

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

874299801600 is a `hidden beast` number, since 8 + 7 + 4 + 29 + 9 + 8 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314747928576 + 559551873024 = 561024^2 + 748032^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1795276557 + ... + 1795277043.

Almost surely, 2^874299801600 is an apocalyptic number.

874299801600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

874299801600 is the 935040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874299801600

874299801600 is an abundant number, since it is smaller than the sum of its proper divisors (2263984886757).

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

874299801600 is an frugal number, since it uses more digits than its factorization.

874299801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 874299801600 in words is "eight hundred seventy-four billion, two hundred ninety-nine million, eight hundred one thousand, six hundred".