820082880 has 280 divisors, whose sum is σ = 3020537520. Its totient is φ = 210954240.

The previous prime is 820082867. The next prime is 820082891. The reversal of 820082880 is 88280028.

It is a super-4 number, since 4×820082880⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751135 + ... + 752225.

It is an arithmetic number, because the mean of its divisors is an integer number (10787634).

Almost surely, 2^820082880 is an apocalyptic number.

820082880 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 820082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510268760).

820082880 is an abundant number, since it is smaller than the sum of its proper divisors (2200454640).

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

820082880 is a wasteful number, since it uses less digits than its factorization.

820082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 820082880 is about 28637.0892375604. The cubic root of 820082880 is about 936.0216957496.

The spelling of 820082880 in words is "eight hundred twenty million, eighty-two thousand, eight hundred eighty".