76982528 has 162 divisors, whose sum is σ = 199752966. Its totient is φ = 29417472.

The previous prime is 76982519. The next prime is 76982537. The reversal of 76982528 is 82528967.

It is an interprime number because it is at equal distance from previous prime (76982519) and next prime (76982537).

It can be written as a sum of positive squares in only one way, i.e., 72454144 + 4528384 = 8512^2 + 2128^2 .

Its product of digits (483840) is a multiple of the sum of its prime divisors (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4051703 + ... + 4051721.

It is an arithmetic number, because the mean of its divisors is an integer number (1233043).

Almost surely, 2^76982528 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 76982528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99876483).

76982528 is an abundant number, since it is smaller than the sum of its proper divisors (122770438).

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

76982528 is a wasteful number, since it uses less digits than its factorization.

76982528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 76982528 is about 8773.9687713144. The cubic root of 76982528 is about 425.3999059414.

The spelling of 76982528 in words is "seventy-six million, nine hundred eighty-two thousand, five hundred twenty-eight".