786828480 has 112 divisors (see below), whose sum is σ = 2505212160. Its totient is φ = 209230848.

The previous prime is 786828479. The next prime is 786828509. The reversal of 786828480 is 84828687.

It is a super-4 number, since 4×786828480⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420507 + ... + 422373.

Almost surely, 2^786828480 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 786828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252606080).

786828480 is an abundant number, since it is smaller than the sum of its proper divisors (1718383680).

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

786828480 is a wasteful number, since it uses less digits than its factorization.

786828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 786828480 is about 28050.4630977815. The cubic root of 786828480 is about 923.1948158826.

The spelling of 786828480 in words is "seven hundred eighty-six million, eight hundred twenty-eight thousand, four hundred eighty".