578047680 has 336 divisors, whose sum is σ = 2319430464. Its totient is φ = 129392640.

The previous prime is 578047637. The next prime is 578047681. The reversal of 578047680 is 86740875.

578047680 is a `hidden beast` number, since 578 + 0 + 4 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (578047681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068210 + ... + 1068750.

Almost surely, 2^578047680 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 578047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159715232).

578047680 is an abundant number, since it is smaller than the sum of its proper divisors (1741382784).

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

578047680 is a wasteful number, since it uses less digits than its factorization.

578047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 578047680 is about 24042.6221531679. The cubic root of 578047680 is about 833.0183228927.

The spelling of 578047680 in words is "five hundred seventy-eight million, forty-seven thousand, six hundred eighty".