77216634 has 60 divisors (see below), whose sum is σ = 184659930. Its totient is φ = 23319120.

The previous prime is 77216617. The next prime is 77216639. The reversal of 77216634 is 43661277.

77216634 is a `hidden beast` number, since 7 + 7 + 2 + 16 + 634 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47568609 + 29648025 = 6897^2 + 5445^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77216639) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 263392 + ... + 263684.

Almost surely, 2^77216634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77216634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92329965).

77216634 is an abundant number, since it is smaller than the sum of its proper divisors (107443296).

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

77216634 is a wasteful number, since it uses less digits than its factorization.

77216634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 309 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77216634 is about 8787.2995851968. The cubic root of 77216634 is about 425.8306871958.

The spelling of 77216634 in words is "seventy-seven million, two hundred sixteen thousand, six hundred thirty-four".