819720000 has 700 divisors, whose sum is σ = 3456468576. Its totient is φ = 190080000.

The previous prime is 819719969. The next prime is 819720007. The reversal of 819720000 is 27918.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819720007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 35639989 + ... + 35640011.

Almost surely, 2^819720000 is an apocalyptic number.

819720000 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 819720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728234288).

819720000 is an abundant number, since it is smaller than the sum of its proper divisors (2636748576).

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

819720000 is a wasteful number, since it uses less digits than its factorization.

819720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 819720000 is about 28630.7526970564. The cubic root of 819720000 is about 935.8836147202.

Adding to 819720000 its reverse (27918), we get a palindrome (819747918).

The spelling of 819720000 in words is "eight hundred nineteen million, seven hundred twenty thousand".