716880 has 80 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 182784.

The previous prime is 716869. The next prime is 716897. The reversal of 716880 is 88617.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6909 + ... + 7011.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁷¹⁶⁸⁸⁰ 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 716880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

716880 is an abundant number, since it is smaller than the sum of its proper divisors (1604400).

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

716880 is a wasteful number, since it uses less digits than its factorization.

716880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 716880 is about 846.6876637816. The cubic root of 716880 is about 89.4984446740.

It can be divided in two parts, 716 and 880, that added together give a triangular number (1596 = T₅₆).

The spelling of 716880 in words is "seven hundred sixteen thousand, eight hundred eighty".