712820 has 24 divisors (see below), whose sum is σ = 1549800. Its totient is φ = 275072.

The previous prime is 712819. The next prime is 712837. The reversal of 712820 is 28217.

It can be written as a sum of positive squares in 4 ways, for example, as 274576 + 438244 = 524^2 + 662^2 .

It is a super-2 number, since 2×712820² = 1016224704800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 712792 and 712801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (64575).

2⁷¹²⁸²⁰ 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 712820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774900).

712820 is an abundant number, since it is smaller than the sum of its proper divisors (836980).

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

712820 is a wasteful number, since it uses less digits than its factorization.

712820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 712820 is about 844.2866811694. The cubic root of 712820 is about 89.3291686383.

The spelling of 712820 in words is "seven hundred twelve thousand, eight hundred twenty".