820734880 has 48 divisors (see below), whose sum is σ = 2215987200. Its totient is φ = 281394432.

The previous prime is 820734853. The next prime is 820734881. The reversal of 820734880 is 88437028.

820734880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820734880² = 1347211486497228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (820734881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365280 + ... + 367519.

It is an arithmetic number, because the mean of its divisors is an integer number (46166400).

Almost surely, 2^820734880 is an apocalyptic number.

820734880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820734880 is an abundant number, since it is smaller than the sum of its proper divisors (1395252320).

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

820734880 is a wasteful number, since it uses less digits than its factorization.

820734880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732821 (or 732813 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 820734880 is about 28648.4708143384. The cubic root of 820734880 is about 936.2696887665.

The spelling of 820734880 in words is "eight hundred twenty million, seven hundred thirty-four thousand, eight hundred eighty".