786666240 has 216 divisors, whose sum is σ = 2841078240. Its totient is φ = 200589312.

The previous prime is 786666203. The next prime is 786666259. The reversal of 786666240 is 42666687.

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

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 23 ways as a sum of consecutive naturals, for example, 263476 + ... + 266444.

It is an arithmetic number, because the mean of its divisors is an integer number (13153140).

Almost surely, 2^786666240 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 786666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420539120).

786666240 is an abundant number, since it is smaller than the sum of its proper divisors (2054412000).

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

786666240 is a wasteful number, since it uses less digits than its factorization.

786666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 786666240 is about 28047.5710178261. The cubic root of 786666240 is about 923.1313588410.

The spelling of 786666240 in words is "seven hundred eighty-six million, six hundred sixty-six thousand, two hundred forty".