801434880 has 216 divisors, whose sum is σ = 2813815368. Its totient is φ = 210567168.

The previous prime is 801434861. The next prime is 801434939. The reversal of 801434880 is 88434108.

It can be written as a sum of positive squares in 4 ways, for example, as 76317696 + 725117184 = 8736^2 + 26928^2 .

It is a super-2 number, since 2×801434880² = 1284595733761228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840484 + ... + 841436.

It is an arithmetic number, because the mean of its divisors is an integer number (13026923).

Almost surely, 2^801434880 is an apocalyptic number.

801434880 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 801434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406907684).

801434880 is an abundant number, since it is smaller than the sum of its proper divisors (2012380488).

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

801434880 is a wasteful number, since it uses less digits than its factorization.

801434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 801434880 is about 28309.6252182893. The cubic root of 801434880 is about 928.8724454795.

Adding to 801434880 its reverse (88434108), we get a palindrome (889868988).

The spelling of 801434880 in words is "eight hundred one million, four hundred thirty-four thousand, eight hundred eighty".