77669376 has 88 divisors (see below), whose sum is σ = 209678304. Its totient is φ = 25559040.

The previous prime is 77669363. The next prime is 77669377. The reversal of 77669376 is 67396677.

It is not an unprimeable number, because it can be changed into a prime (77669377) 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, 402336 + ... + 402528.

It is an arithmetic number, because the mean of its divisors is an integer number (2382708).

Almost surely, 2^77669376 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 77669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104839152).

77669376 is an abundant number, since it is smaller than the sum of its proper divisors (132008928).

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

77669376 is a wasteful number, since it uses less digits than its factorization.

77669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 329 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 51.

The square root of 77669376 is about 8813.0230908582. The cubic root of 77669376 is about 426.6613193774.

The spelling of 77669376 in words is "seventy-seven million, six hundred sixty-nine thousand, three hundred seventy-six".