756420 has 48 divisors (see below), whose sum is σ = 2421888. Its totient is φ = 172800.

The previous prime is 756419. The next prime is 756421. The reversal of 756420 is 24657.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (756419) and next prime (756421).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 756420.

It is not an unprimeable number, because it can be changed into a prime (756421) 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, 481 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (50456).

2⁷⁵⁶⁴²⁰ is an apocalyptic number.

756420 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

756420 is an abundant number, since it is smaller than the sum of its proper divisors (1665468).

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

756420 is a wasteful number, since it uses less digits than its factorization.

756420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 756420 is about 869.7240941816. The cubic root of 756420 is about 91.1145359719.

It can be divided in two parts, 756 and 420, that added together give a triangular number (1176 = T₄₈).

The spelling of 756420 in words is "seven hundred fifty-six thousand, four hundred twenty".