77383872 has 84 divisors (see below), whose sum is σ = 227864416. Its totient is φ = 25090560.

The previous prime is 77383871. The next prime is 77383883. The reversal of 77383872 is 27838377.

It is not an unprimeable number, because it can be changed into a prime (77383871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19497 + ... + 23127.

Almost surely, 2^77383872 is an apocalyptic number.

77383872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77383872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113932208).

77383872 is an abundant number, since it is smaller than the sum of its proper divisors (150480544).

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

77383872 is a wasteful number, since it uses less digits than its factorization.

77383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3673 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 77383872 is about 8796.8103310234. The cubic root of 77383872 is about 426.1378909564.

The spelling of 77383872 in words is "seventy-seven million, three hundred eighty-three thousand, eight hundred seventy-two".