76109340 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 17633280.

The previous prime is 76109339. The next prime is 76109353. The reversal of 76109340 is 4390167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76109298 and 76109307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916939 + ... + 917021.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^76109340 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 76109340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

76109340 is an abundant number, since it is smaller than the sum of its proper divisors (167746020).

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

76109340 is a wasteful number, since it uses less digits than its factorization.

76109340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76109340 is about 8724.0667122621. The cubic root of 76109340 is about 423.7853948385.

The spelling of 76109340 in words is "seventy-six million, one hundred nine thousand, three hundred forty".