801658240 has 128 divisors (see below), whose sum is σ = 1986405120. Its totient is φ = 309166080.

The previous prime is 801658237. The next prime is 801658259. The reversal of 801658240 is 42856108.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 801658196 and 801658205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3594769 + ... + 3594991.

It is an arithmetic number, because the mean of its divisors is an integer number (15518790).

Almost surely, 2^801658240 is an apocalyptic number.

801658240 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 801658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993202560).

801658240 is an abundant number, since it is smaller than the sum of its proper divisors (1184746880).

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

801658240 is a wasteful number, since it uses less digits than its factorization.

801658240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 801658240 is about 28313.5698914849. The cubic root of 801658240 is about 928.9587297526.

The spelling of 801658240 in words is "eight hundred one million, six hundred fifty-eight thousand, two hundred forty".