76587480 has 96 divisors (see below), whose sum is σ = 262033200. Its totient is φ = 19346688.

The previous prime is 76587473. The next prime is 76587481. The reversal of 76587480 is 8478567.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76587481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242 + ... + 12438.

Almost surely, 2^76587480 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 76587480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131016600).

76587480 is an abundant number, since it is smaller than the sum of its proper divisors (185445720).

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

76587480 is a wasteful number, since it uses less digits than its factorization.

76587480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11233 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 76587480 is about 8751.4273121589. The cubic root of 76587480 is about 424.6709887315.

The spelling of 76587480 in words is "seventy-six million, five hundred eighty-seven thousand, four hundred eighty".