840077568 has 360 divisors, whose sum is σ = 2849172480. Its totient is φ = 243855360.

The previous prime is 840077549. The next prime is 840077603. The reversal of 840077568 is 865770048.

840077568 is a `hidden beast` number, since 84 + 0 + 0 + 7 + 7 + 568 = 666.

It is a super-3 number, since 3×840077568³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6614721 + ... + 6614847.

It is an arithmetic number, because the mean of its divisors is an integer number (7914368).

Almost surely, 2^840077568 is an apocalyptic number.

840077568 is a gapful number since it is divisible by the number (88) 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 840077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424586240).

840077568 is an abundant number, since it is smaller than the sum of its proper divisors (2009094912).

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

840077568 is a wasteful number, since it uses less digits than its factorization.

840077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

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

The square root of 840077568 is about 28984.0916366203. The cubic root of 840077568 is about 943.5678381921.

The spelling of 840077568 in words is "eight hundred forty million, seventy-seven thousand, five hundred sixty-eight".