77471856 has 320 divisors, whose sum is σ = 295695360. Its totient is φ = 18800640.

The previous prime is 77471827. The next prime is 77471857. The reversal of 77471856 is 65817477.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77471857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565420 + ... + 565556.

It is an arithmetic number, because the mean of its divisors is an integer number (924048).

Almost surely, 2^77471856 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 77471856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

77471856 is an abundant number, since it is smaller than the sum of its proper divisors (218223504).

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

77471856 is a wasteful number, since it uses less digits than its factorization.

77471856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 77471856 is about 8801.8098138962. The cubic root of 77471856 is about 426.2993333623.

The spelling of 77471856 in words is "seventy-seven million, four hundred seventy-one thousand, eight hundred fifty-six".