76981248 has 66 divisors (see below), whose sum is σ = 222308294. Its totient is φ = 25657344.

The previous prime is 76981243. The next prime is 76981249. The reversal of 76981248 is 84218967.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 7225344 = 8352^2 + 2688^2 .

It is a super-2 number, since 2×76981248² = 11852225087275008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (76981241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5040 + ... + 13392.

Almost surely, 2^76981248 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 76981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111154147).

76981248 is an abundant number, since it is smaller than the sum of its proper divisors (145327046).

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

76981248 is a wasteful number, since it uses less digits than its factorization.

76981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8358 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 76981248 is about 8773.8958279660. The cubic root of 76981248 is about 425.3975481990.

The spelling of 76981248 in words is "seventy-six million, nine hundred eighty-one thousand, two hundred forty-eight".