77384340 has 288 divisors, whose sum is σ = 287763840. Its totient is φ = 16727040.

The previous prime is 77384317. The next prime is 77384381. The reversal of 77384340 is 4348377.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77384295 and 77384304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4072851 + ... + 4072869.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 2^77384340 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 77384340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143881920).

77384340 is an abundant number, since it is smaller than the sum of its proper divisors (210379500).

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

77384340 is a wasteful number, since it uses less digits than its factorization.

77384340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77384340 is about 8796.8369315340. The cubic root of 77384340 is about 426.1387500162.

The spelling of 77384340 in words is "seventy-seven million, three hundred eighty-four thousand, three hundred forty".