784864464 has 80 divisors (see below), whose sum is σ = 2163700800. Its totient is φ = 244435968.

The previous prime is 784864463. The next prime is 784864469. The reversal of 784864464 is 464468487.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (784864463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60682 + ... + 72470.

It is an arithmetic number, because the mean of its divisors is an integer number (27046260).

Almost surely, 2^784864464 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 784864464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081850400).

784864464 is an abundant number, since it is smaller than the sum of its proper divisors (1378836336).

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

784864464 is a wasteful number, since it uses less digits than its factorization.

784864464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11886 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 51.

The square root of 784864464 is about 28015.4326041916. The cubic root of 784864464 is about 922.4260417644.

The spelling of 784864464 in words is "seven hundred eighty-four million, eight hundred sixty-four thousand, four hundred sixty-four".