818779000320 has 800 divisors, whose sum is σ = 3025751652000. Its totient is φ = 211487293440.

The previous prime is 818779000301. The next prime is 818779000331. The reversal of 818779000320 is 23000977818.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1640839431 + ... + 1640839929.

It is an arithmetic number, because the mean of its divisors is an integer number (3782189565).

Almost surely, 2^818779000320 is an apocalyptic number.

818779000320 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 818779000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512875826000).

818779000320 is an abundant number, since it is smaller than the sum of its proper divisors (2206972651680).

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

818779000320 is a wasteful number, since it uses less digits than its factorization.

818779000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 818779000320 in words is "eight hundred eighteen billion, seven hundred seventy-nine million, three hundred twenty", and thus it is an aban number.