76828540 has 48 divisors (see below), whose sum is σ = 172327680. Its totient is φ = 28707840.

The previous prime is 76828529. The next prime is 76828553. The reversal of 76828540 is 4582867.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76828493 and 76828502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15844 + ... + 20116.

It is an arithmetic number, because the mean of its divisors is an integer number (3590160).

Almost surely, 2^76828540 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 76828540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86163840).

76828540 is an abundant number, since it is smaller than the sum of its proper divisors (95499140).

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

76828540 is a wasteful number, since it uses less digits than its factorization.

76828540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 76828540 is about 8765.1891023526. The cubic root of 76828540 is about 425.1160744083.

The spelling of 76828540 in words is "seventy-six million, eight hundred twenty-eight thousand, five hundred forty".