786314340 has 288 divisors, whose sum is σ = 2915168256. Its totient is φ = 167650560.

The previous prime is 786314329. The next prime is 786314357. The reversal of 786314340 is 43413687.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 786314295 and 786314304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1245825 + ... + 1246455.

It is an arithmetic number, because the mean of its divisors is an integer number (10122112).

Almost surely, 2^786314340 is an apocalyptic number.

786314340 is a gapful number since it is divisible by the number (70) 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 786314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457584128).

786314340 is an abundant number, since it is smaller than the sum of its proper divisors (2128853916).

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

786314340 is a wasteful number, since it uses less digits than its factorization.

786314340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 786314340 is about 28041.2970456076. The cubic root of 786314340 is about 922.9936899631.

The spelling of 786314340 in words is "seven hundred eighty-six million, three hundred fourteen thousand, three hundred forty".