80435040 has 192 divisors, whose sum is σ = 297851904. Its totient is φ = 17860608.

The previous prime is 80435039. The next prime is 80435059. The reversal of 80435040 is 4053408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80435040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123997 + ... + 124643.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 2^80435040 is an apocalyptic number.

80435040 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 80435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

80435040 is an abundant number, since it is smaller than the sum of its proper divisors (217416864).

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

80435040 is a wasteful number, since it uses less digits than its factorization.

80435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 80435040 is about 8968.5584125878. The cubic root of 80435040 is about 431.6665808666. Note that the first 3 decimals are identical.

Adding to 80435040 its reverse (4053408), we get a palindrome (84488448).

The spelling of 80435040 in words is "eighty million, four hundred thirty-five thousand, forty".