800961840 has 360 divisors, whose sum is σ = 3182126688. Its totient is φ = 179988480.

The previous prime is 800961839. The next prime is 800961857. The reversal of 800961840 is 48169008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 800961795 and 800961804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2575285 + ... + 2575595.

Almost surely, 2^800961840 is an apocalyptic number.

800961840 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 800961840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591063344).

800961840 is an abundant number, since it is smaller than the sum of its proper divisors (2381164848).

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

800961840 is a wasteful number, since it uses less digits than its factorization.

800961840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 800961840 is about 28301.2692294886. The cubic root of 800961840 is about 928.6896565383.

The spelling of 800961840 in words is "eight hundred million, nine hundred sixty-one thousand, eight hundred forty".