786802464 has 384 divisors, whose sum is σ = 2844979200. Its totient is φ = 206530560.

The previous prime is 786802441. The next prime is 786802487. The reversal of 786802464 is 464208687.

786802464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (786802441) and next prime (786802487).

It is a congruent number.

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, 4711309 + ... + 4711475.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^786802464 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 786802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422489600).

786802464 is an abundant number, since it is smaller than the sum of its proper divisors (2058176736).

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

786802464 is a wasteful number, since it uses less digits than its factorization.

786802464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 786802464 is about 28049.9993582888. Note that the first 3 decimals coincide. The cubic root of 786802464 is about 923.1846408141.

The spelling of 786802464 in words is "seven hundred eighty-six million, eight hundred two thousand, four hundred sixty-four".