787289040 has 240 divisors, whose sum is σ = 2826622656. Its totient is φ = 195686400.

The previous prime is 787289033. The next prime is 787289047. The reversal of 787289040 is 40982787.

It is an interprime number because it is at equal distance from previous prime (787289033) and next prime (787289047).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (787289047) 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, 1603195 + ... + 1603685.

Almost surely, 2^787289040 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 787289040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413311328).

787289040 is an abundant number, since it is smaller than the sum of its proper divisors (2039333616).

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

787289040 is a wasteful number, since it uses less digits than its factorization.

787289040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 787289040 is about 28058.6713869349. The cubic root of 787289040 is about 923.3749075133.

The spelling of 787289040 in words is "seven hundred eighty-seven million, two hundred eighty-nine thousand, forty".