801687040 has 320 divisors, whose sum is σ = 2474841600. Its totient is φ = 246865920.

The previous prime is 801687031. The next prime is 801687091. The reversal of 801687040 is 40786108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×801687040² = 1285404220207923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 801686987 and 801687005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9658839 + ... + 9658921.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^801687040 is an apocalyptic number.

801687040 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 801687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237420800).

801687040 is an abundant number, since it is smaller than the sum of its proper divisors (1673154560).

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

801687040 is an equidigital number, since it uses as much as digits as its factorization.

801687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 801687040 is about 28314.0784769697. The cubic root of 801687040 is about 928.9698540654.

The spelling of 801687040 in words is "eight hundred one million, six hundred eighty-seven thousand, forty".