820212480 has 288 divisors, whose sum is σ = 2956605120. Its totient is φ = 217976832.

The previous prime is 820212479. The next prime is 820212551. The reversal of 820212480 is 84212028.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2799214 + ... + 2799506.

It is an arithmetic number, because the mean of its divisors is an integer number (10265990).

Almost surely, 2^820212480 is an apocalyptic number.

820212480 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 820212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478302560).

820212480 is an abundant number, since it is smaller than the sum of its proper divisors (2136392640).

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

820212480 is an frugal number, since it uses more digits than its factorization.

820212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 820212480 is about 28639.3519479754. The cubic root of 820212480 is about 936.0710005313.

The spelling of 820212480 in words is "eight hundred twenty million, two hundred twelve thousand, four hundred eighty".