820014720 has 512 divisors, whose sum is σ = 3281886720. Its totient is φ = 169869312.

The previous prime is 820014709. The next prime is 820014731. The reversal of 820014720 is 27410028.

It is an interprime number because it is at equal distance from previous prime (820014709) and next prime (820014731).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8453712 + ... + 8453808.

It is an arithmetic number, because the mean of its divisors is an integer number (6409935).

Almost surely, 2^820014720 is an apocalyptic number.

820014720 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 820014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

820014720 is an abundant number, since it is smaller than the sum of its proper divisors (2461872000).

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

820014720 is a wasteful number, since it uses less digits than its factorization.

820014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 820014720 is about 28635.8991477481. The cubic root of 820014720 is about 935.9957630022.

Adding to 820014720 its reverse (27410028), we get a palindrome (847424748).

The spelling of 820014720 in words is "eight hundred twenty million, fourteen thousand, seven hundred twenty".