786407664 has 120 divisors (see below), whose sum is σ = 2374254288. Its totient is φ = 223641600.

The previous prime is 786407639. The next prime is 786407683. The reversal of 786407664 is 466704687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 603814 + ... + 605114.

Almost surely, 2^786407664 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 786407664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187127144).

786407664 is an abundant number, since it is smaller than the sum of its proper divisors (1587846624).

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

786407664 is a wasteful number, since it uses less digits than its factorization.

786407664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 786407664 is about 28042.9610419442. The cubic root of 786407664 is about 923.0302037979.

The spelling of 786407664 in words is "seven hundred eighty-six million, four hundred seven thousand, six hundred sixty-four".