784864080 has 800 divisors, whose sum is σ = 3690263808. Its totient is φ = 150543360.

The previous prime is 784864061. The next prime is 784864127. The reversal of 784864080 is 80468487.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60374154 + ... + 60374166.

Almost surely, 2^784864080 is an apocalyptic number.

784864080 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 784864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845131904).

784864080 is an abundant number, since it is smaller than the sum of its proper divisors (2905399728).

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

784864080 is a wasteful number, since it uses less digits than its factorization.

784864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 784864080 is about 28015.4257508252. The cubic root of 784864080 is about 922.4258913300.

The spelling of 784864080 in words is "seven hundred eighty-four million, eight hundred sixty-four thousand, eighty".