828777960 has 128 divisors (see below), whose sum is σ = 2814912000. Its totient is φ = 216822528.

The previous prime is 828777953. The next prime is 828778009. The reversal of 828777960 is 69777828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 828777897 and 828777906.

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, 50001 + ... + 64479.

It is an arithmetic number, because the mean of its divisors is an integer number (21991500).

Almost surely, 2^828777960 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 828777960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407456000).

828777960 is an abundant number, since it is smaller than the sum of its proper divisors (1986134040).

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

828777960 is a wasteful number, since it uses less digits than its factorization.

828777960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14552 (or 14542 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 828777960 is about 28788.5039555723. The cubic root of 828777960 is about 939.3181867306.

The spelling of 828777960 in words is "eight hundred twenty-eight million, seven hundred seventy-seven thousand, nine hundred sixty".