830905171600 has 405 divisors, whose sum is σ = 2473258840347. Its totient is φ = 267423959040.

The previous prime is 830905171571. The next prime is 830905171619. The reversal of 830905171600 is 6171509038.

The square root of 830905171600 is 911540.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19435705744 + 811469465856 = 139412^2 + 900816^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

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, 2169465009 + ... + 2169465391.

Almost surely, 2^830905171600 is an apocalyptic number.

830905171600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

830905171600 is the 911540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830905171600

830905171600 is an abundant number, since it is smaller than the sum of its proper divisors (1642353668747).

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

830905171600 is a wasteful number, since it uses less digits than its factorization.

830905171600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 830905171600 in words is "eight hundred thirty billion, nine hundred five million, one hundred seventy-one thousand, six hundred".