80814240 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 19878912.

The previous prime is 80814229. The next prime is 80814269. The reversal of 80814240 is 4241808.

It is a super-3 number, since 3×80814240³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 55441 + ... + 56879.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^80814240 is an apocalyptic number.

80814240 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 80814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

80814240 is an abundant number, since it is smaller than the sum of its proper divisors (224004960).

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

80814240 is a wasteful number, since it uses less digits than its factorization.

80814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80814240 is about 8989.6740764057. The cubic root of 80814240 is about 432.3438620236.

It can be divided in two parts, 8081 and 4240, that added together give a palindrome (12321).

The spelling of 80814240 in words is "eighty million, eight hundred fourteen thousand, two hundred forty".