709782480 has 160 divisors (see below), whose sum is σ = 2667150720. Its totient is φ = 172062720.

The previous prime is 709782473. The next prime is 709782517. The reversal of 709782480 is 84287907.

709782480 is a `hidden beast` number, since 7 + 0 + 97 + 82 + 480 = 666.

709782480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 8824 + ... + 38696.

It is an arithmetic number, because the mean of its divisors is an integer number (16669692).

Almost surely, 2^709782480 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 709782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333575360).

709782480 is an abundant number, since it is smaller than the sum of its proper divisors (1957368240).

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

709782480 is a wasteful number, since it uses less digits than its factorization.

709782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29906 (or 29894 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 709782480 is about 26641.7431862106. The cubic root of 709782480 is about 892.0210268056.

The spelling of 709782480 in words is "seven hundred nine million, seven hundred eighty-two thousand, four hundred eighty".