801239040 has 624 divisors, whose sum is σ = 3434715648. Its totient is φ = 175177728.

The previous prime is 801239029. The next prime is 801239077. The reversal of 801239040 is 40932108.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 801238995 and 801239013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34836469 + ... + 34836491.

It is an arithmetic number, because the mean of its divisors is an integer number (5504352).

Almost surely, 2^801239040 is an apocalyptic number.

801239040 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 801239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717357824).

801239040 is an abundant number, since it is smaller than the sum of its proper divisors (2633476608).

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

801239040 is an equidigital number, since it uses as much as digits as its factorization.

801239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 801239040 is about 28306.1661127041. The cubic root of 801239040 is about 928.7967790286.

The spelling of 801239040 in words is "eight hundred one million, two hundred thirty-nine thousand, forty".