828377280 has 392 divisors, whose sum is σ = 3058283952. Its totient is φ = 213497856.

The previous prime is 828377261. The next prime is 828377293. The reversal of 828377280 is 82773828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12363807 + ... + 12363873.

Almost surely, 2^828377280 is an apocalyptic number.

828377280 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 828377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529141976).

828377280 is an abundant number, since it is smaller than the sum of its proper divisors (2229906672).

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

828377280 is an equidigital number, since it uses as much as digits as its factorization.

828377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 828377280 is about 28781.5440864454. The cubic root of 828377280 is about 939.1667884478.

The spelling of 828377280 in words is "eight hundred twenty-eight million, three hundred seventy-seven thousand, two hundred eighty".