77965416 has 80 divisors (see below), whose sum is σ = 221284800. Its totient is φ = 25642656.

The previous prime is 77965397. The next prime is 77965429. The reversal of 77965416 is 61456977.

It is a happy number.

It is a super-3 number, since 3×77965416³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (317520) is a multiple of the sum of its prime factors (1620).

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 19 ways as a sum of consecutive naturals, for example, 50431 + ... + 51953.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^77965416 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 77965416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110642400).

77965416 is an abundant number, since it is smaller than the sum of its proper divisors (143319384).

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

77965416 is a wasteful number, since it uses less digits than its factorization.

77965416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1607 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 77965416 is about 8829.8027158029. The cubic root of 77965416 is about 427.2027111304.

The spelling of 77965416 in words is "seventy-seven million, nine hundred sixty-five thousand, four hundred sixteen".