76481028 has 72 divisors (see below), whose sum is σ = 220468248. Its totient is φ = 22146048.

The previous prime is 76481021. The next prime is 76481029. The reversal of 76481028 is 82018467.

76481028 is a `hidden beast` number, since 7 + 648 + 1 + 0 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32285124 + 44195904 = 5682^2 + 6648^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 76480983 and 76481001.

It is not an unprimeable number, because it can be changed into a prime (76481021) 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, 3150 + ... + 12762.

It is an arithmetic number, because the mean of its divisors is an integer number (3062059).

Almost surely, 2^76481028 is an apocalyptic number.

76481028 is a gapful number since it is divisible by the number (78) 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 76481028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110234124).

76481028 is an abundant number, since it is smaller than the sum of its proper divisors (143987220).

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

76481028 is a wasteful number, since it uses less digits than its factorization.

76481028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76481028 is about 8745.3432179646. The cubic root of 76481028 is about 424.4741417737.

The spelling of 76481028 in words is "seventy-six million, four hundred eighty-one thousand, twenty-eight".