77116920 has 64 divisors (see below), whose sum is σ = 232308000. Its totient is φ = 20479488.

The previous prime is 77116891. The next prime is 77116927. The reversal of 77116920 is 2961177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77116927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31086 + ... + 33474.

Almost surely, 2^77116920 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 77116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116154000).

77116920 is an abundant number, since it is smaller than the sum of its proper divisors (155191080).

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

77116920 is a wasteful number, since it uses less digits than its factorization.

77116920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 77116920 is about 8781.6239955944. The cubic root of 77116920 is about 425.6473088675.

The spelling of 77116920 in words is "seventy-seven million, one hundred sixteen thousand, nine hundred twenty".