76185340 has 96 divisors (see below), whose sum is σ = 202987008. Its totient is φ = 23328000.

The previous prime is 76185301. The next prime is 76185341. The reversal of 76185340 is 4358167.

It is a junction number, because it is equal to n+sod(n) for n = 76185296 and 76185305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76185341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93535 + ... + 94345.

It is an arithmetic number, because the mean of its divisors is an integer number (2114448).

Almost surely, 2^76185340 is an apocalyptic number.

76185340 is a gapful number since it is divisible by the number (70) 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 76185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101493504).

76185340 is an abundant number, since it is smaller than the sum of its proper divisors (126801668).

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

76185340 is a wasteful number, since it uses less digits than its factorization.

76185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 76185340 is about 8728.4213922106. The cubic root of 76185340 is about 423.9264067716.

The spelling of 76185340 in words is "seventy-six million, one hundred eighty-five thousand, three hundred forty".