75406900 has 36 divisors (see below), whose sum is σ = 173262348. Its totient is φ = 28387840.

The previous prime is 75406867. The next prime is 75406909. The reversal of 75406900 is 960457.

It can be written as a sum of positive squares in 6 ways, for example, as 5550736 + 69856164 = 2356^2 + 8358^2 .

It is a super-2 number, since 2×75406900² = 11372401135220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75406909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20479 + ... + 23878.

It is an arithmetic number, because the mean of its divisors is an integer number (4812843).

Almost surely, 2^75406900 is an apocalyptic number.

It is an amenable number.

75406900 is an abundant number, since it is smaller than the sum of its proper divisors (97855448).

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

75406900 is a wasteful number, since it uses less digits than its factorization.

75406900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44388 (or 44381 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 75406900 is about 8683.7146429394. The cubic root of 75406900 is about 422.4776081407.

The spelling of 75406900 in words is "seventy-five million, four hundred six thousand, nine hundred".