77636460 has 96 divisors (see below), whose sum is σ = 240307200. Its totient is φ = 18570240.

The previous prime is 77636453. The next prime is 77636473. The reversal of 77636460 is 6463677.

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 31 ways as a sum of consecutive naturals, for example, 51396 + ... + 52884.

It is an arithmetic number, because the mean of its divisors is an integer number (2503200).

Almost surely, 2^77636460 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 77636460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120153600).

77636460 is an abundant number, since it is smaller than the sum of its proper divisors (162670740).

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

77636460 is a wasteful number, since it uses less digits than its factorization.

77636460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 77636460 is about 8811.1554293407. The cubic root of 77636460 is about 426.6010383542.

The spelling of 77636460 in words is "seventy-seven million, six hundred thirty-six thousand, four hundred sixty".