756540 has 60 divisors (see below), whose sum is σ = 2378376. Its totient is φ = 201312.

The previous prime is 756533. The next prime is 756541. The reversal of 756540 is 45657.

756540 is a `hidden beast` number, since 7 + 5 + 654 + 0 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756541) by changing a digit.

756540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1387 + ... + 1853.

2⁷⁵⁶⁵⁴⁰ 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 756540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189188).

756540 is an abundant number, since it is smaller than the sum of its proper divisors (1621836).

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

756540 is a wasteful number, since it uses less digits than its factorization.

756540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 756540 is about 869.7930788412. The cubic root of 756540 is about 91.1193539153.

It can be divided in two parts, 756 and 540, that added together give a 4-th power (1296 = 6⁴).

The spelling of 756540 in words is "seven hundred fifty-six thousand, five hundred forty".