801719040 has 144 divisors (see below), whose sum is σ = 2586624768. Its totient is φ = 211611648.

The previous prime is 801719033. The next prime is 801719053. The reversal of 801719040 is 40917108.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 801718989 and 801719007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394507 + ... + 396533.

It is an arithmetic number, because the mean of its divisors is an integer number (17962672).

Almost surely, 2^801719040 is an apocalyptic number.

801719040 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 801719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293312384).

801719040 is an abundant number, since it is smaller than the sum of its proper divisors (1784905728).

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

801719040 is a wasteful number, since it uses less digits than its factorization.

801719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 801719040 is about 28314.6435612388. The cubic root of 801719040 is about 928.9822141004.

The spelling of 801719040 in words is "eight hundred one million, seven hundred nineteen thousand, forty".