77856416 has 72 divisors (see below), whose sum is σ = 173837664. Its totient is φ = 34039040.

The previous prime is 77856409. The next prime is 77856419. The reversal of 77856416 is 61465877.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (77856419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295901 + ... + 296163.

It is an arithmetic number, because the mean of its divisors is an integer number (2414412).

Almost surely, 2^77856416 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 77856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86918832).

77856416 is an abundant number, since it is smaller than the sum of its proper divisors (95981248).

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

77856416 is a wasteful number, since it uses less digits than its factorization.

77856416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 305 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 77856416 is about 8823.6282786618. The cubic root of 77856416 is about 427.0035338756.

The spelling of 77856416 in words is "seventy-seven million, eight hundred fifty-six thousand, four hundred sixteen".