77164016 has 40 divisors (see below), whose sum is σ = 161061120. Its totient is φ = 35695296.

The previous prime is 77163913. The next prime is 77164019. The reversal of 77164016 is 61046177.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77164019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10121 + ... + 16023.

It is an arithmetic number, because the mean of its divisors is an integer number (4026528).

Almost surely, 2^77164016 is an apocalyptic number.

77164016 is a gapful number since it is divisible by the number (76) 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 77164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80530560).

77164016 is an abundant number, since it is smaller than the sum of its proper divisors (83897104).

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

77164016 is a wasteful number, since it uses less digits than its factorization.

77164016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5973 (or 5967 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 77164016 is about 8784.3050948837. The cubic root of 77164016 is about 425.7339401205.

The spelling of 77164016 in words is "seventy-seven million, one hundred sixty-four thousand, sixteen".