76575828 has 72 divisors (see below), whose sum is σ = 214604544. Its totient is φ = 21168000.

The previous prime is 76575827. The next prime is 76575853. The reversal of 76575828 is 82857567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76575827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16128 + ... + 20328.

Almost surely, 2^76575828 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 76575828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107302272).

76575828 is an abundant number, since it is smaller than the sum of its proper divisors (138028716).

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

76575828 is a wasteful number, since it uses less digits than its factorization.

76575828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4244 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 76575828 is about 8750.7615668581. The cubic root of 76575828 is about 424.6494511933.

The spelling of 76575828 in words is "seventy-six million, five hundred seventy-five thousand, eight hundred twenty-eight".