675756900 has 432 divisors, whose sum is σ = 2689383424. Its totient is φ = 138101760.

The previous prime is 675756899. The next prime is 675756901. The reversal of 675756900 is 9657576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675756899) and next prime (675756901).

It is a super-2 number, since 2×675756900² = 913294775795220000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675756901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3030189 + ... + 3030411.

Almost surely, 2^675756900 is an apocalyptic number.

675756900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344691712).

675756900 is an abundant number, since it is smaller than the sum of its proper divisors (2013626524).

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

675756900 is a wasteful number, since it uses less digits than its factorization.

675756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 675756900 is about 25995.3245796239. The cubic root of 675756900 is about 877.5330788417.

The spelling of 675756900 in words is "six hundred seventy-five million, seven hundred fifty-six thousand, nine hundred".