820789200 has 900 divisors, whose sum is σ = 3817737792. Its totient is φ = 166924800.

The previous prime is 820789199. The next prime is 820789219. The reversal of 820789200 is 2987028.

It is a tau number, because it is divible by the number of its divisors (900).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17463577 + ... + 17463623.

Almost surely, 2^820789200 is an apocalyptic number.

820789200 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 820789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908868896).

820789200 is an abundant number, since it is smaller than the sum of its proper divisors (2996948592).

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

820789200 is a wasteful number, since it uses less digits than its factorization.

820789200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 820789200 is about 28649.4188422732. The cubic root of 820789200 is about 936.2903438521.

The spelling of 820789200 in words is "eight hundred twenty million, seven hundred eighty-nine thousand, two hundred".