819486720 has 560 divisors, whose sum is σ = 3330336240. Its totient is φ = 191102976.

The previous prime is 819486713. The next prime is 819486761. The reversal of 819486720 is 27684918.

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 39 ways as a sum of consecutive naturals, for example, 43130871 + ... + 43130889.

It is an arithmetic number, because the mean of its divisors is an integer number (5947029).

Almost surely, 2^819486720 is an apocalyptic number.

819486720 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 819486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665168120).

819486720 is an abundant number, since it is smaller than the sum of its proper divisors (2510849520).

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

819486720 is a wasteful number, since it uses less digits than its factorization.

819486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 819486720 is about 28626.6784660743. The cubic root of 819486720 is about 935.7948268238.

The spelling of 819486720 in words is "eight hundred nineteen million, four hundred eighty-six thousand, seven hundred twenty".