801645040 has 80 divisors (see below), whose sum is σ = 2138577408. Its totient is φ = 273754368.

The previous prime is 801645037. The next prime is 801645041. The reversal of 801645040 is 40546108.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801645041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144559 + ... + 150001.

Almost surely, 2^801645040 is an apocalyptic number.

801645040 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 801645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069288704).

801645040 is an abundant number, since it is smaller than the sum of its proper divisors (1336932368).

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

801645040 is a wasteful number, since it uses less digits than its factorization.

801645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 801645040 is about 28313.3367867512. The cubic root of 801645040 is about 928.9536310202.

The spelling of 801645040 in words is "eight hundred one million, six hundred forty-five thousand, forty".