787431040 has 128 divisors (see below), whose sum is σ = 2109784320. Its totient is φ = 278507520.

The previous prime is 787431023. The next prime is 787431053. The reversal of 787431040 is 40134787.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 787430987 and 787431005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258969 + ... + 261991.

It is an arithmetic number, because the mean of its divisors is an integer number (16482690).

Almost surely, 2^787431040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 787431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054892160).

787431040 is an abundant number, since it is smaller than the sum of its proper divisors (1322353280).

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

787431040 is a wasteful number, since it uses less digits than its factorization.

787431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 787431040 is about 28061.2016848887. The cubic root of 787431040 is about 923.4304192538.

The spelling of 787431040 in words is "seven hundred eighty-seven million, four hundred thirty-one thousand, forty".