725196780 has 384 divisors, whose sum is σ = 2856591360. Its totient is φ = 148366080.

The previous prime is 725196767. The next prime is 725196799. The reversal of 725196780 is 87691527.

725196780 is a `hidden beast` number, since 72 + 519 + 67 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4448979 + ... + 4449141.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^725196780 is an apocalyptic number.

725196780 is a gapful number since it is divisible by the number (70) 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 725196780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428295680).

725196780 is an abundant number, since it is smaller than the sum of its proper divisors (2131394580).

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

725196780 is a wasteful number, since it uses less digits than its factorization.

725196780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 725196780 is about 26929.4779006204. The cubic root of 725196780 is about 898.4321592252.

The spelling of 725196780 in words is "seven hundred twenty-five million, one hundred ninety-six thousand, seven hundred eighty".