75690264 has 128 divisors (see below), whose sum is σ = 214361280. Its totient is φ = 22118400.

The previous prime is 75690259. The next prime is 75690287. The reversal of 75690264 is 46209657.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780264 + ... + 780360.

Almost surely, 2^75690264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75690264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107180640).

75690264 is an abundant number, since it is smaller than the sum of its proper divisors (138671016).

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

75690264 is a wasteful number, since it uses less digits than its factorization.

75690264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 75690264 is about 8700.0151724006. The cubic root of 75690264 is about 423.0061420119.

The spelling of 75690264 in words is "seventy-five million, six hundred ninety thousand, two hundred sixty-four".