76536240 has 160 divisors (see below), whose sum is σ = 264197376. Its totient is φ = 18170880.

The previous prime is 76536233. The next prime is 76536253. The reversal of 76536240 is 4263567.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139647 + ... + 140193.

Almost surely, 2^76536240 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 76536240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132098688).

76536240 is an abundant number, since it is smaller than the sum of its proper divisors (187661136).

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

76536240 is a wasteful number, since it uses less digits than its factorization.

76536240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 76536240 is about 8748.4992998800. The cubic root of 76536240 is about 424.5762604719.

The spelling of 76536240 in words is "seventy-six million, five hundred thirty-six thousand, two hundred forty".