76385340 has 72 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 19933824.

The previous prime is 76385327. The next prime is 76385357. The reversal of 76385340 is 4358367.

It is a happy number.

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 = 76385295 and 76385304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3946 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (3286920).

Almost surely, 2^76385340 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 76385340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120).

76385340 is an abundant number, since it is smaller than the sum of its proper divisors (160272900).

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

76385340 is a wasteful number, since it uses less digits than its factorization.

76385340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9091 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 76385340 is about 8739.8707084258. The cubic root of 76385340 is about 424.2970432450.

The spelling of 76385340 in words is "seventy-six million, three hundred eighty-five thousand, three hundred forty".