76539840 has 112 divisors (see below), whose sum is σ = 261750048. Its totient is φ = 18837504.

The previous prime is 76539839. The next prime is 76539893. The reversal of 76539840 is 4893567.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76539792 and 76539801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9414 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (2337054).

Almost surely, 2^76539840 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 76539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130875024).

76539840 is an abundant number, since it is smaller than the sum of its proper divisors (185210208).

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

76539840 is a wasteful number, since it uses less digits than its factorization.

76539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 76539840 is about 8748.7050470341. The cubic root of 76539840 is about 424.5829172338.

The spelling of 76539840 in words is "seventy-six million, five hundred thirty-nine thousand, eight hundred forty".