716923200 has 336 divisors, whose sum is σ = 2832120320. Its totient is φ = 155105280.

The previous prime is 716923199. The next prime is 716923223. The reversal of 716923200 is 2329617.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637839 + ... + 638961.

Almost surely, 2^716923200 is an apocalyptic number.

716923200 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 716923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416060160).

716923200 is an abundant number, since it is smaller than the sum of its proper divisors (2115197120).

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

716923200 is a wasteful number, since it uses less digits than its factorization.

716923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 716923200 is about 26775.4215653087. The cubic root of 716923200 is about 895.0024239710.

The spelling of 716923200 in words is "seven hundred sixteen million, nine hundred twenty-three thousand, two hundred".