830036383200 has 864 divisors, whose sum is σ = 3338498322432. Its totient is φ = 192817152000.

The previous prime is 830036383139. The next prime is 830036383243. The reversal of 830036383200 is 2383630038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87266445 + ... + 87275955.

It is an arithmetic number, because the mean of its divisors is an integer number (3864002688).

Almost surely, 2^830036383200 is an apocalyptic number.

830036383200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830036383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669249161216).

830036383200 is an abundant number, since it is smaller than the sum of its proper divisors (2508461939232).

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

830036383200 is a wasteful number, since it uses less digits than its factorization.

830036383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 830036383200 in words is "eight hundred thirty billion, thirty-six million, three hundred eighty-three thousand, two hundred".