76518728 has 64 divisors (see below), whose sum is σ = 169888320. Its totient is φ = 31852800.

The previous prime is 76518727. The next prime is 76518731. The reversal of 76518728 is 82781567.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (76518727) 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, 241226 + ... + 241542.

It is an arithmetic number, because the mean of its divisors is an integer number (2654505).

Almost surely, 2^76518728 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 76518728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84944160).

76518728 is an abundant number, since it is smaller than the sum of its proper divisors (93369592).

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

76518728 is a wasteful number, since it uses less digits than its factorization.

76518728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its digits is 188160, while the sum is 44.

The square root of 76518728 is about 8747.4983852528. The cubic root of 76518728 is about 424.5438760458.

It can be divided in two parts, 7651872 and 8, that multiplied together give a square (61214976 = 7824²).

The spelling of 76518728 in words is "seventy-six million, five hundred eighteen thousand, seven hundred twenty-eight".