785040480 has 288 divisors, whose sum is σ = 3223584000. Its totient is φ = 169952256.

The previous prime is 785040457. The next prime is 785040521. The reversal of 785040480 is 84040587.

785040480 is a `hidden beast` number, since 78 + 504 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 189471 + ... + 193569.

It is an arithmetic number, because the mean of its divisors is an integer number (11193000).

Almost surely, 2^785040480 is an apocalyptic number.

785040480 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 785040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611792000).

785040480 is an abundant number, since it is smaller than the sum of its proper divisors (2438543520).

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

785040480 is a wasteful number, since it uses less digits than its factorization.

785040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 785040480 is about 28018.5738395087. The cubic root of 785040480 is about 922.4949919309.

The spelling of 785040480 in words is "seven hundred eighty-five million, forty thousand, four hundred eighty".