816242400 has 576 divisors, whose sum is σ = 3239792640. Its totient is φ = 197683200.

The previous prime is 816242387. The next prime is 816242411. The reversal of 816242400 is 4242618.

816242400 is a `hidden beast` number, since 8 + 16 + 242 + 400 = 666.

816242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15400774 + ... + 15400826.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^816242400 is an apocalyptic number.

816242400 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 816242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619896320).

816242400 is an abundant number, since it is smaller than the sum of its proper divisors (2423550240).

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

816242400 is a wasteful number, since it uses less digits than its factorization.

816242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 816242400 is about 28569.9562477789. The cubic root of 816242400 is about 934.5582669419.

The spelling of 816242400 in words is "eight hundred sixteen million, two hundred forty-two thousand, four hundred".