77227416 has 96 divisors (see below), whose sum is σ = 242711040. Its totient is φ = 21726144.

The previous prime is 77227393. The next prime is 77227453. The reversal of 77227416 is 61472277.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32625 + ... + 34911.

It is an arithmetic number, because the mean of its divisors is an integer number (2528240).

Almost surely, 2^77227416 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 77227416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121355520).

77227416 is an abundant number, since it is smaller than the sum of its proper divisors (165483624).

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

77227416 is a wasteful number, since it uses less digits than its factorization.

77227416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2366 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 77227416 is about 8787.9130628381. The cubic root of 77227416 is about 425.8505062968.

The spelling of 77227416 in words is "seventy-seven million, two hundred twenty-seven thousand, four hundred sixteen".