830692800 has 672 divisors, whose sum is σ = 3598103040. Its totient is φ = 182476800.

The previous prime is 830692799. The next prime is 830692813. The reversal of 830692800 is 8296038.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 12398367 + ... + 12398433.

It is an arithmetic number, because the mean of its divisors is an integer number (5354320).

Almost surely, 2^830692800 is an apocalyptic number.

830692800 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 830692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799051520).

830692800 is an abundant number, since it is smaller than the sum of its proper divisors (2767410240).

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

830692800 is a wasteful number, since it uses less digits than its factorization.

830692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 830692800 is about 28821.7417933060. The cubic root of 830692800 is about 940.0410424210.

The spelling of 830692800 in words is "eight hundred thirty million, six hundred ninety-two thousand, eight hundred".