746820 has 60 divisors (see below), whose sum is σ = 2347884. Its totient is φ = 198720.

The previous prime is 746813. The next prime is 746839. The reversal of 746820 is 28647.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 492804 = 504^2 + 702^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×746820² = 1115480224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1390 + ... + 1850.

2⁷⁴⁶⁸²⁰ 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 746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173942).

746820 is an abundant number, since it is smaller than the sum of its proper divisors (1601064).

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

746820 is a wasteful number, since it uses less digits than its factorization.

746820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 746820 is about 864.1874796594. The cubic root of 746820 is about 90.7274378717.

The spelling of 746820 in words is "seven hundred forty-six thousand, eight hundred twenty".