807531440 has 80 divisors (see below), whose sum is σ = 1926626688. Its totient is φ = 314631168.

The previous prime is 807531437. The next prime is 807531457. The reversal of 807531440 is 44135708.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 807531397 and 807531406.

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 15 ways as a sum of consecutive naturals, for example, 1101314 + ... + 1102046.

Almost surely, 2^807531440 is an apocalyptic number.

807531440 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 807531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963313344).

807531440 is an abundant number, since it is smaller than the sum of its proper divisors (1119095248).

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

807531440 is a wasteful number, since it uses less digits than its factorization.

807531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 807531440 is about 28417.0976702407. The cubic root of 807531440 is about 931.2218264527.

The spelling of 807531440 in words is "eight hundred seven million, five hundred thirty-one thousand, four hundred forty".