725983776 has 384 divisors, whose sum is σ = 2682408960. Its totient is φ = 186126336.

The previous prime is 725983763. The next prime is 725983789. The reversal of 725983776 is 677389527.

It is an interprime number because it is at equal distance from previous prime (725983763) and next prime (725983789).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2364615 + ... + 2364921.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^725983776 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 725983776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341204480).

725983776 is an abundant number, since it is smaller than the sum of its proper divisors (1956425184).

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

725983776 is a wasteful number, since it uses less digits than its factorization.

725983776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 725983776 is about 26944.0861043755. The cubic root of 725983776 is about 898.7570397344.

The spelling of 725983776 in words is "seven hundred twenty-five million, nine hundred eighty-three thousand, seven hundred seventy-six".