76518540 has 192 divisors, whose sum is σ = 281272320. Its totient is φ = 16899840.

The previous prime is 76518511. The next prime is 76518577. The reversal of 76518540 is 4581567.

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 = 76518495 and 76518504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116854 + ... + 117506.

It is an arithmetic number, because the mean of its divisors is an integer number (1464960).

Almost surely, 2^76518540 is an apocalyptic number.

76518540 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 76518540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140636160).

76518540 is an abundant number, since it is smaller than the sum of its proper divisors (204753780).

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

76518540 is a wasteful number, since it uses less digits than its factorization.

76518540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 76518540 is about 8747.4876393168. The cubic root of 76518540 is about 424.5435283562.

The spelling of 76518540 in words is "seventy-six million, five hundred eighteen thousand, five hundred forty".