830165600 has 144 divisors (see below), whose sum is σ = 2287822320. Its totient is φ = 291379200.

The previous prime is 830165587. The next prime is 830165617. The reversal of 830165600 is 6561038.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253574 + ... + 256826.

It is an arithmetic number, because the mean of its divisors is an integer number (15887655).

Almost surely, 2^830165600 is an apocalyptic number.

830165600 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 830165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143911160).

830165600 is an abundant number, since it is smaller than the sum of its proper divisors (1457656720).

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

830165600 is a wasteful number, since it uses less digits than its factorization.

830165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 830165600 is about 28812.5944683918. The cubic root of 830165600 is about 939.8421343463.

The spelling of 830165600 in words is "eight hundred thirty million, one hundred sixty-five thousand, six hundred".