6882755400 has 72 divisors (see below), whose sum is σ = 23114592930. Its totient is φ = 1835400960.

The previous prime is 6882755387. The next prime is 6882755437. The reversal of 6882755400 is 45572886.

6882755400 is a `hidden beast` number, since 6 + 88 + 27 + 5 + 540 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3486430116 + 3396325284 = 59046^2 + 58278^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1910077 + ... + 1913676.

Almost surely, 2^6882755400 is an apocalyptic number.

6882755400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6882755400 is an abundant number, since it is smaller than the sum of its proper divisors (16231837530).

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

6882755400 is a wasteful number, since it uses less digits than its factorization.

6882755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823775 (or 3823763 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 6882755400 is about 82962.3733990295. The cubic root of 6882755400 is about 1902.1909536380.

The spelling of 6882755400 in words is "six billion, eight hundred eighty-two million, seven hundred fifty-five thousand, four hundred".