842572800 has 528 divisors, whose sum is σ = 3289610880. Its totient is φ = 210862080.

The previous prime is 842572793. The next prime is 842572849. The reversal of 842572800 is 8275248.

It is a happy number.

842572800 is a `hidden beast` number, since 8 + 4 + 2 + 572 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15897574 + ... + 15897626.

Almost surely, 2^842572800 is an apocalyptic number.

842572800 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 842572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644805440).

842572800 is an abundant number, since it is smaller than the sum of its proper divisors (2447038080).

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

842572800 is a wasteful number, since it uses less digits than its factorization.

842572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 842572800 is about 29027.1045748624. The cubic root of 842572800 is about 944.5011224220.

It can be divided in two parts, 8425 and 72800, that added together give a square (81225 = 285²).

The spelling of 842572800 in words is "eight hundred forty-two million, five hundred seventy-two thousand, eight hundred".