786834048 has 512 divisors, whose sum is σ = 2961100800. Its totient is φ = 178421760.

The previous prime is 786834019. The next prime is 786834073. The reversal of 786834048 is 840438687.

It is a super-3 number, since 3×786834048³ (a number of 28 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 786833988 and 786834006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8840788 + ... + 8840876.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^786834048 is an apocalyptic number.

786834048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 786834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480550400).

786834048 is an abundant number, since it is smaller than the sum of its proper divisors (2174266752).

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

786834048 is a wasteful number, since it uses less digits than its factorization.

786834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 786834048 is about 28050.5623473042. The cubic root of 786834048 is about 923.1969935434.

It can be divided in two parts, 78 and 6834048, that multiplied together give a square (533055744 = 23088²).

The spelling of 786834048 in words is "seven hundred eighty-six million, eight hundred thirty-four thousand, forty-eight".