786646080 has 560 divisors, whose sum is σ = 3186501120. Its totient is φ = 182476800.

The previous prime is 786646073. The next prime is 786646093. The reversal of 786646080 is 80646687.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8838676 + ... + 8838764.

Almost surely, 2^786646080 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 786646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593250560).

786646080 is an abundant number, since it is smaller than the sum of its proper divisors (2399855040).

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

786646080 is a wasteful number, since it uses less digits than its factorization.

786646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 786646080 is about 28047.2116261136. The cubic root of 786646080 is about 923.1234730371.

The spelling of 786646080 in words is "seven hundred eighty-six million, six hundred forty-six thousand, eighty".