77161672 has 48 divisors (see below), whose sum is σ = 172439820. Its totient is φ = 32256000.

The previous prime is 77161661. The next prime is 77161703. The reversal of 77161672 is 27616177.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 4468996 = 8526^2 + 2114^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13672 + ... + 18472.

Almost surely, 2^77161672 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 77161672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219910).

77161672 is an abundant number, since it is smaller than the sum of its proper divisors (95278148).

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

77161672 is a wasteful number, since it uses less digits than its factorization.

77161672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4851 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The square root of 77161672 is about 8784.1716740965. The cubic root of 77161672 is about 425.7296292577.

The spelling of 77161672 in words is "seventy-seven million, one hundred sixty-one thousand, six hundred seventy-two".