700728000 has 448 divisors, whose sum is σ = 2733739008. Its totient is φ = 154828800.

The previous prime is 700727971. The next prime is 700728019. The reversal of 700728000 is 827007.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223952 + ... + 7224048.

It is an arithmetic number, because the mean of its divisors is an integer number (6102096).

Almost surely, 2^700728000 is an apocalyptic number.

700728000 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 700728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366869504).

700728000 is an abundant number, since it is smaller than the sum of its proper divisors (2033011008).

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

700728000 is a wasteful number, since it uses less digits than its factorization.

700728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 700728000 is about 26471.2674422665. The cubic root of 700728000 is about 888.2117018185.

The spelling of 700728000 in words is "seven hundred million, seven hundred twenty-eight thousand".