710880 has 48 divisors (see below), whose sum is σ = 2240784. Its totient is φ = 189440.

The previous prime is 710873. The next prime is 710887. The reversal of 710880 is 88017.

It is an interprime number because it is at equal distance from previous prime (710873) and next prime (710887).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 710880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (710887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 1220.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

2⁷¹⁰⁸⁸⁰ 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 710880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120392).

710880 is an abundant number, since it is smaller than the sum of its proper divisors (1529904).

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

710880 is a wasteful number, since it uses less digits than its factorization.

710880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 710880 is about 843.1369995440. The cubic root of 710880 is about 89.2480560428.

Adding to 710880 its reverse (88017), we get a palindrome (798897).

The spelling of 710880 in words is "seven hundred ten thousand, eight hundred eighty".