819700823520 has 384 divisors, whose sum is σ = 3021707566080. Its totient is φ = 207126374400.

The previous prime is 819700823509. The next prime is 819700823537. The reversal of 819700823520 is 25328007918.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 10592970 + ... + 10670070.

It is an arithmetic number, because the mean of its divisors is an integer number (7869030120).

Almost surely, 2^819700823520 is an apocalyptic number.

819700823520 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 819700823520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510853783040).

819700823520 is an abundant number, since it is smaller than the sum of its proper divisors (2202006742560).

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

819700823520 is a wasteful number, since it uses less digits than its factorization.

819700823520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77255 (or 77241 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 819700823520 in words is "eight hundred nineteen billion, seven hundred million, eight hundred twenty-three thousand, five hundred twenty".