75940100 has 18 divisors (see below), whose sum is σ = 164790234. Its totient is φ = 30376000.

The previous prime is 75940097. The next prime is 75940121. The reversal of 75940100 is 104957.

It can be written as a sum of positive squares in 3 ways, for example, as 215296 + 75724804 = 464^2 + 8702^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75940100.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 379601 + ... + 379800.

It is an arithmetic number, because the mean of its divisors is an integer number (9155013).

Almost surely, 2^75940100 is an apocalyptic number.

It is an amenable number.

75940100 is an abundant number, since it is smaller than the sum of its proper divisors (88850134).

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

75940100 is a wasteful number, since it uses less digits than its factorization.

75940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759415 (or 759408 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 75940100 is about 8714.3617092705. The cubic root of 75940100 is about 423.4710459165.

The spelling of 75940100 in words is "seventy-five million, nine hundred forty thousand, one hundred".