80857440 has 240 divisors, whose sum is σ = 302968512. Its totient is φ = 20238336.

The previous prime is 80857417. The next prime is 80857451. The reversal of 80857440 is 4475808.

80857440 is a `hidden beast` number, since 80 + 8 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 80857395 and 80857404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220137 + ... + 220503.

Almost surely, 2^80857440 is an apocalyptic number.

80857440 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 80857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484256).

80857440 is an abundant number, since it is smaller than the sum of its proper divisors (222111072).

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

80857440 is a wasteful number, since it uses less digits than its factorization.

80857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 80857440 is about 8992.0765121300. The cubic root of 80857440 is about 432.4208861050.

The spelling of 80857440 in words is "eighty million, eight hundred fifty-seven thousand, four hundred forty".