847072800 has 378 divisors, whose sum is σ = 3484817973. Its totient is φ = 193616640.

The previous prime is 847072757. The next prime is 847072817. The reversal of 847072800 is 8270748.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 830131344 + 16941456 = 28812^2 + 4116^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20580.

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 62 ways as a sum of consecutive naturals, for example, 121010397 + ... + 121010403.

Almost surely, 2^847072800 is an apocalyptic number.

847072800 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 847072800

847072800 is an abundant number, since it is smaller than the sum of its proper divisors (2637745173).

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

847072800 is an frugal number, since it uses more digits than its factorization.

847072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 847072800 is about 29104.5151136383. The cubic root of 847072800 is about 946.1795969135.

Multiplying 847072800 by its product of nonzero digits (25088), we get a square (21251362406400 = 4609920²).

The spelling of 847072800 in words is "eight hundred forty-seven million, seventy-two thousand, eight hundred".