784132480 has 128 divisors (see below), whose sum is σ = 2007996480. Its totient is φ = 291766272.

The previous prime is 784132469. The next prime is 784132483. The reversal of 784132480 is 84231487.

784132480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×784132480² = 1229727492381900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (784132483) 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, 1054989 + ... + 1055731.

Almost surely, 2^784132480 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 784132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003998240).

784132480 is an abundant number, since it is smaller than the sum of its proper divisors (1223864000).

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

784132480 is a wasteful number, since it uses less digits than its factorization.

784132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 784132480 is about 28002.3656143548. The cubic root of 784132480 is about 922.1391934627.

The spelling of 784132480 in words is "seven hundred eighty-four million, one hundred thirty-two thousand, four hundred eighty".