819866880 has 288 divisors, whose sum is σ = 3325996800. Its totient is φ = 187342848.

The previous prime is 819866863. The next prime is 819866909. The reversal of 819866880 is 88668918.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240226 + ... + 243614.

It is an arithmetic number, because the mean of its divisors is an integer number (11548600).

Almost surely, 2^819866880 is an apocalyptic number.

819866880 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 819866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662998400).

819866880 is an abundant number, since it is smaller than the sum of its proper divisors (2506129920).

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

819866880 is a wasteful number, since it uses less digits than its factorization.

819866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 819866880 is about 28633.3176561851. The cubic root of 819866880 is about 935.9395095688.

It can be divided in two parts, 8198 and 66880, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 819866880 in words is "eight hundred nineteen million, eight hundred sixty-six thousand, eight hundred eighty".