786608640 has 120 divisors (see below), whose sum is σ = 2724326748. Its totient is φ = 209756160.

The previous prime is 786608629. The next prime is 786608651. The reversal of 786608640 is 46806687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (786608629) and next prime (786608651).

It can be written as a sum of positive squares in 2 ways, for example, as 783104256 + 3504384 = 27984^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5970 + ... + 40110.

Almost surely, 2^786608640 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 786608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362163374).

786608640 is an abundant number, since it is smaller than the sum of its proper divisors (1937718108).

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

786608640 is a wasteful number, since it uses less digits than its factorization.

786608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34170 (or 34151 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 786608640 is about 28046.5441721436. The cubic root of 786608640 is about 923.1088276152.

The spelling of 786608640 in words is "seven hundred eighty-six million, six hundred eight thousand, six hundred forty".