847725318400 has 243 divisors, whose sum is σ = 2232236875309. Its totient is φ = 318672240640.

The previous prime is 847725318373. The next prime is 847725318409. The reversal of 847725318400 is 4813527748.

The square root of 847725318400 is 920720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4971942144 + 842753376256 = 70512^2 + 918016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (847725318409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1252178862 + ... + 1252179538.

Almost surely, 2^847725318400 is an apocalyptic number.

847725318400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

847725318400 is the 920720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 847725318400

847725318400 is an abundant number, since it is smaller than the sum of its proper divisors (1384511556909).

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

847725318400 is an frugal number, since it uses more digits than its factorization.

847725318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

Multiplying 847725318400 by its sum of digits (49), we get a square (41538540601600 = 6445040²).

The spelling of 847725318400 in words is "eight hundred forty-seven billion, seven hundred twenty-five million, three hundred eighteen thousand, four hundred".