77385672 has 256 divisors, whose sum is σ = 275251200. Its totient is φ = 19595520.

The previous prime is 77385667. The next prime is 77385673. The reversal of 77385672 is 27658377.

It is not an unprimeable number, because it can be changed into a prime (77385673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609273 + ... + 609399.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 2^77385672 is an apocalyptic number.

77385672 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 77385672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137625600).

77385672 is an abundant number, since it is smaller than the sum of its proper divisors (197865528).

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

77385672 is a wasteful number, since it uses less digits than its factorization.

77385672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 77385672 is about 8796.9126402392. The cubic root of 77385672 is about 426.1411950137.

The spelling of 77385672 in words is "seventy-seven million, three hundred eighty-five thousand, six hundred seventy-two".