77603568 has 80 divisors (see below), whose sum is σ = 232413696. Its totient is φ = 21853440.

The previous prime is 77603567. The next prime is 77603573. The reversal of 77603568 is 86530677.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77603567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22230 + ... + 25482.

Almost surely, 2^77603568 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 77603568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116206848).

77603568 is an abundant number, since it is smaller than the sum of its proper divisors (154810128).

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

77603568 is a wasteful number, since it uses less digits than its factorization.

77603568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 77603568 is about 8809.2887340579. The cubic root of 77603568 is about 426.5407842613.

The spelling of 77603568 in words is "seventy-seven million, six hundred three thousand, five hundred sixty-eight".