801081600 has 216 divisors, whose sum is σ = 2884836192. Its totient is φ = 194150400.

The previous prime is 801081577. The next prime is 801081623. The reversal of 801081600 is 6180108.

801081600 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (801081577) and next prime (801081623).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209304 + ... + 213096.

Almost surely, 2^801081600 is an apocalyptic number.

801081600 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 801081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442418096).

801081600 is an abundant number, since it is smaller than the sum of its proper divisors (2083754592).

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

801081600 is a wasteful number, since it uses less digits than its factorization.

801081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 801081600 is about 28303.3849565737. The cubic root of 801081600 is about 928.7359401958.

The spelling of 801081600 in words is "eight hundred one million, eighty-one thousand, six hundred".