727820 has 24 divisors (see below), whose sum is σ = 1544928. Its totient is φ = 288000.

The previous prime is 727817. The next prime is 727823. The reversal of 727820 is 28727.

It is an interprime number because it is at equal distance from previous prime (727817) and next prime (727823).

It is a self number, because there is not a number n which added to its sum of digits gives 727820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727823) 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, 2900 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (64372).

2⁷²⁷⁸²⁰ is an apocalyptic number.

It is an amenable number.

727820 is an abundant number, since it is smaller than the sum of its proper divisors (817108).

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

727820 is a wasteful number, since it uses less digits than its factorization.

727820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 727820 is about 853.1236721601. The cubic root of 727820 is about 89.9514141052.

The spelling of 727820 in words is "seven hundred twenty-seven thousand, eight hundred twenty".