76309540 has 48 divisors (see below), whose sum is σ = 166373424. Its totient is φ = 29376000.

The previous prime is 76309531. The next prime is 76309543. The reversal of 76309540 is 4590367.

It can be written as a sum of positive squares in 8 ways, for example, as 16957924 + 59351616 = 4118^2 + 7704^2 .

It is a super-3 number, since 3×76309540³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76309496 and 76309505.

It is not an unprimeable number, because it can be changed into a prime (76309543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74230 + ... + 75250.

It is an arithmetic number, because the mean of its divisors is an integer number (3466113).

Almost surely, 2^76309540 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 76309540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83186712).

76309540 is an abundant number, since it is smaller than the sum of its proper divisors (90063884).

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

76309540 is a wasteful number, since it uses less digits than its factorization.

76309540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 76309540 is about 8735.5331834983. The cubic root of 76309540 is about 424.1566482418.

The spelling of 76309540 in words is "seventy-six million, three hundred nine thousand, five hundred forty".