77405016 has 128 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 22464000.

The previous prime is 77404969. The next prime is 77405017. The reversal of 77405016 is 61050477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77405017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512541 + ... + 512691.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^77405016 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 77405016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

77405016 is an abundant number, since it is smaller than the sum of its proper divisors (143226024).

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

77405016 is a wasteful number, since it uses less digits than its factorization.

77405016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 77405016 is about 8798.0120481845. The cubic root of 77405016 is about 426.1766993834.

The spelling of 77405016 in words is "seventy-seven million, four hundred five thousand, sixteen".