803829600 has 432 divisors, whose sum is σ = 3326974560. Its totient is φ = 178790400.

The previous prime is 803829589. The next prime is 803829601. The reversal of 803829600 is 6928308.

It is a super-2 number, since 2×803829600² = 1292284051672320000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803829601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2066206 + ... + 2066594.

It is an arithmetic number, because the mean of its divisors is an integer number (7701330).

Almost surely, 2^803829600 is an apocalyptic number.

803829600 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 803829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663487280).

803829600 is an abundant number, since it is smaller than the sum of its proper divisors (2523144960).

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

803829600 is a wasteful number, since it uses less digits than its factorization.

803829600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

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

The square root of 803829600 is about 28351.8888259671. Note that the first 4 decimals coincide. The cubic root of 803829600 is about 929.7966950667.

The spelling of 803829600 in words is "eight hundred three million, eight hundred twenty-nine thousand, six hundred".