77617601 has 8 divisors (see below), whose sum is σ = 82465320. Its totient is φ = 72914688.

The previous prime is 77617549. The next prime is 77617609. The reversal of 77617601 is 10671677.

It can be written as a sum of positive squares in 4 ways, for example, as 19492225 + 58125376 = 4415^2 + 7624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 77617601 - 2¹⁴ = 77601217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77617609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35096 + ... + 37241.

It is an arithmetic number, because the mean of its divisors is an integer number (10308165).

Almost surely, 2^77617601 is an apocalyptic number.

It is an amenable number.

77617601 is a deficient number, since it is larger than the sum of its proper divisors (4847719).

77617601 is a wasteful number, since it uses less digits than its factorization.

77617601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72403.

The product of its (nonzero) digits is 12348, while the sum is 35.

The square root of 77617601 is about 8810.0851868753. The cubic root of 77617601 is about 426.5664930709.

The spelling of 77617601 in words is "seventy-seven million, six hundred seventeen thousand, six hundred one".