828802777920 has 224 divisors, whose sum is σ = 2848117036800. Its totient is φ = 202987192320.

The previous prime is 828802777909. The next prime is 828802777931. The reversal of 828802777920 is 29777208828.

It is an interprime number because it is at equal distance from previous prime (828802777909) and next prime (828802777931).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 2316660 + ... + 2650380.

It is an arithmetic number, because the mean of its divisors is an integer number (12714808200).

Almost surely, 2^828802777920 is an apocalyptic number.

828802777920 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 828802777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424058518400).

828802777920 is an abundant number, since it is smaller than the sum of its proper divisors (2019314258880).

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

828802777920 is a wasteful number, since it uses less digits than its factorization.

828802777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333953 (or 333943 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 60.

The spelling of 828802777920 in words is "eight hundred twenty-eight billion, eight hundred two million, seven hundred seventy-seven thousand, nine hundred twenty".