76563828 has 144 divisors (see below), whose sum is σ = 224078400. Its totient is φ = 21826560.

The previous prime is 76563827. The next prime is 76563847. The reversal of 76563828 is 82836567.

76563828 is a `hidden beast` number, since 7 + 6 + 5 + 638 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76563827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 677500 + ... + 677612.

It is an arithmetic number, because the mean of its divisors is an integer number (1556100).

Almost surely, 2^76563828 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 76563828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

76563828 is an abundant number, since it is smaller than the sum of its proper divisors (147514572).

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

76563828 is a wasteful number, since it uses less digits than its factorization.

76563828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 217 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 76563828 is about 8750.0758853852. The cubic root of 76563828 is about 424.6272681287.

The spelling of 76563828 in words is "seventy-six million, five hundred sixty-three thousand, eight hundred twenty-eight".