77628816 has 30 divisors (see below), whose sum is σ = 217253270. Its totient is φ = 25876224.

The previous prime is 77628767. The next prime is 77628823. The reversal of 77628816 is 61882677.

77628816 is a `hidden beast` number, since 7 + 7 + 628 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42771600 + 34857216 = 6540^2 + 5904^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269401 + ... + 269688.

Almost surely, 2^77628816 is an apocalyptic number.

It is an amenable number.

77628816 is an abundant number, since it is smaller than the sum of its proper divisors (139624454).

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

77628816 is a wasteful number, since it uses less digits than its factorization.

77628816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539103 (or 539094 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 77628816 is about 8810.7216503531. The cubic root of 77628816 is about 426.5870370058.

It can be divided in two parts, 776 and 28816, that added together give a palindrome (29592).

The spelling of 77628816 in words is "seventy-seven million, six hundred twenty-eight thousand, eight hundred sixteen".