828093760 has 112 divisors (see below), whose sum is σ = 2140555536. Its totient is φ = 303316992.

The previous prime is 828093757. The next prime is 828093797. The reversal of 828093760 is 67390828.

It can be written as a sum of positive squares in 8 ways, for example, as 6927424 + 821166336 = 2632^2 + 28656^2 .

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, 569194 + ... + 570646.

It is an arithmetic number, because the mean of its divisors is an integer number (19112103).

Almost surely, 2^828093760 is an apocalyptic number.

828093760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070277768).

828093760 is an abundant number, since it is smaller than the sum of its proper divisors (1312461776).

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

828093760 is a wasteful number, since it uses less digits than its factorization.

828093760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 828093760 is about 28776.6182863797. The cubic root of 828093760 is about 939.0596299673.

The spelling of 828093760 in words is "eight hundred twenty-eight million, ninety-three thousand, seven hundred sixty".