820373760 has 432 divisors, whose sum is σ = 3099358080. Its totient is φ = 199557120.

The previous prime is 820373753. The next prime is 820373783. The reversal of 820373760 is 67373028.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11554525 + ... + 11554595.

It is an arithmetic number, because the mean of its divisors is an integer number (7174440).

Almost surely, 2^820373760 is an apocalyptic number.

820373760 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 820373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549679040).

820373760 is an abundant number, since it is smaller than the sum of its proper divisors (2278984320).

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

820373760 is a wasteful number, since it uses less digits than its factorization.

820373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 820373760 is about 28642.1675157450. The cubic root of 820373760 is about 936.1323503402.

The spelling of 820373760 in words is "eight hundred twenty million, three hundred seventy-three thousand, seven hundred sixty".