807431040 has 384 divisors, whose sum is σ = 3087564480. Its totient is φ = 193167360.

The previous prime is 807431039. The next prime is 807431047. The reversal of 807431040 is 40134708.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 807430995 and 807431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807431047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3069949 + ... + 3070211.

Almost surely, 2^807431040 is an apocalyptic number.

807431040 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 807431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543782240).

807431040 is an abundant number, since it is smaller than the sum of its proper divisors (2280133440).

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

807431040 is a wasteful number, since it uses less digits than its factorization.

807431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 807431040 is about 28415.3310732076. The cubic root of 807431040 is about 931.1832320642.

Adding to 807431040 its reverse (40134708), we get a palindrome (847565748).

The spelling of 807431040 in words is "eight hundred seven million, four hundred thirty-one thousand, forty".