77711616 has 72 divisors (see below), whose sum is σ = 229827360. Its totient is φ = 25901568.

The previous prime is 77711611. The next prime is 77711629. The reversal of 77711616 is 61611777.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×77711616² = 12078190522662912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (77711611) 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, 1291 + ... + 12533.

Almost surely, 2^77711616 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 77711616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114913680).

77711616 is an abundant number, since it is smaller than the sum of its proper divisors (152115744).

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

77711616 is a wasteful number, since it uses less digits than its factorization.

77711616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11268 (or 11248 counting only the distinct ones).

The product of its digits is 12348, while the sum is 36.

The square root of 77711616 is about 8815.4192186192. The cubic root of 77711616 is about 426.7386510490.

The spelling of 77711616 in words is "seventy-seven million, seven hundred eleven thousand, six hundred sixteen".