816020400 has 360 divisors, whose sum is σ = 3006915184. Its totient is φ = 188006400.

The previous prime is 816020323. The next prime is 816020407. The reversal of 816020400 is 4020618.

816020400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (816020407) 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, 4508310 + ... + 4508490.

Almost surely, 2^816020400 is an apocalyptic number.

816020400 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 816020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503457592).

816020400 is an abundant number, since it is smaller than the sum of its proper divisors (2190894784).

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

816020400 is a wasteful number, since it uses less digits than its factorization.

816020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 816020400 is about 28566.0707833612. The cubic root of 816020400 is about 934.4735328207.

The spelling of 816020400 in words is "eight hundred sixteen million, twenty thousand, four hundred".