784470960 has 480 divisors, whose sum is σ = 3354785280. Its totient is φ = 164975616.

The previous prime is 784470943. The next prime is 784470971. The reversal of 784470960 is 69074487.

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 95 ways as a sum of consecutive naturals, for example, 2555127 + ... + 2555433.

It is an arithmetic number, because the mean of its divisors is an integer number (6989136).

Almost surely, 2^784470960 is an apocalyptic number.

784470960 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 784470960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677392640).

784470960 is an abundant number, since it is smaller than the sum of its proper divisors (2570314320).

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

784470960 is a wasteful number, since it uses less digits than its factorization.

784470960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 784470960 is about 28008.4087373774. The cubic root of 784470960 is about 922.2718584489.

The spelling of 784470960 in words is "seven hundred eighty-four million, four hundred seventy thousand, nine hundred sixty".