819277680 has 320 divisors, whose sum is σ = 2887815168. Its totient is φ = 190771200.

The previous prime is 819277649. The next prime is 819277691. The reversal of 819277680 is 86772918.

819277680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5425605 + ... + 5425755.

Almost surely, 2^819277680 is an apocalyptic number.

819277680 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 819277680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443907584).

819277680 is an abundant number, since it is smaller than the sum of its proper divisors (2068537488).

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

819277680 is a wasteful number, since it uses less digits than its factorization.

819277680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 819277680 is about 28623.0270935832. The cubic root of 819277680 is about 935.7152505144.

The spelling of 819277680 in words is "eight hundred nineteen million, two hundred seventy-seven thousand, six hundred eighty".