712880 has 80 divisors (see below), whose sum is σ = 2023680. Its totient is φ = 228096.

The previous prime is 712847. The next prime is 712883. The reversal of 712880 is 88217.

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

It is not an unprimeable number, because it can be changed into a prime (712883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10607 + ... + 10673.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2⁷¹²⁸⁸⁰ is an apocalyptic number.

712880 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 712880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011840).

712880 is an abundant number, since it is smaller than the sum of its proper divisors (1310800).

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

712880 is a wasteful number, since it uses less digits than its factorization.

712880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 712880 is about 844.3222133759. The cubic root of 712880 is about 89.3316749278.

It can be divided in two parts, 71 and 2880, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 712880 in words is "seven hundred twelve thousand, eight hundred eighty".