75742900 has 18 divisors (see below), whose sum is σ = 164362310. Its totient is φ = 30297120.

The previous prime is 75742879. The next prime is 75742903. The reversal of 75742900 is 924757.

It can be written as a sum of positive squares in 3 ways, for example, as 25361296 + 50381604 = 5036^2 + 7098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75742903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 378615 + ... + 378814.

Almost surely, 2^75742900 is an apocalyptic number.

It is an amenable number.

75742900 is an abundant number, since it is smaller than the sum of its proper divisors (88619410).

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

75742900 is a wasteful number, since it uses less digits than its factorization.

75742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757443 (or 757436 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 75742900 is about 8703.0396988638. The cubic root of 75742900 is about 423.1041739599.

The spelling of 75742900 in words is "seventy-five million, seven hundred forty-two thousand, nine hundred".