818460720 has 960 divisors, whose sum is σ = 3867609600. Its totient is φ = 156764160.

The previous prime is 818460719. The next prime is 818460749. The reversal of 818460720 is 27064818.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22120542 + ... + 22120578.

It is an arithmetic number, because the mean of its divisors is an integer number (4028760).

Almost surely, 2^818460720 is an apocalyptic number.

818460720 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 818460720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933804800).

818460720 is an abundant number, since it is smaller than the sum of its proper divisors (3049148880).

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

818460720 is a wasteful number, since it uses less digits than its factorization.

818460720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 818460720 is about 28608.7525068815. The cubic root of 818460720 is about 935.4041243506.

The spelling of 818460720 in words is "eight hundred eighteen million, four hundred sixty thousand, seven hundred twenty".