725984084800 has 168 divisors, whose sum is σ = 1933564353336. Its totient is φ = 266693468160.

The previous prime is 725984084767. The next prime is 725984084809. The reversal of 725984084800 is 8480489527.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 84113920576 + 641870164224 = 290024^2 + 801168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725984084809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4009014 + ... + 4186186.

It is an arithmetic number, because the mean of its divisors is an integer number (11509311627).

Almost surely, 2^725984084800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725984084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966782176668).

725984084800 is an abundant number, since it is smaller than the sum of its proper divisors (1207580268536).

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

725984084800 is a wasteful number, since it uses less digits than its factorization.

725984084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177405 (or 177390 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 725984084800 in words is "seven hundred twenty-five billion, nine hundred eighty-four million, eighty-four thousand, eight hundred".