801823680 has 336 divisors, whose sum is σ = 3256141824. Its totient is φ = 177223680.

The previous prime is 801823669. The next prime is 801823691. The reversal of 801823680 is 86328108.

It is an interprime number because it is at equal distance from previous prime (801823669) and next prime (801823691).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624319 + ... + 625601.

Almost surely, 2^801823680 is an apocalyptic number.

801823680 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 801823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628070912).

801823680 is an abundant number, since it is smaller than the sum of its proper divisors (2454318144).

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

801823680 is a wasteful number, since it uses less digits than its factorization.

801823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 801823680 is about 28316.4913080699. The cubic root of 801823680 is about 929.0226291191.

The spelling of 801823680 in words is "eight hundred one million, eight hundred twenty-three thousand, six hundred eighty".