76681248 has 96 divisors (see below), whose sum is σ = 234493056. Its totient is φ = 21485568.

The previous prime is 76681217. The next prime is 76681261. The reversal of 76681248 is 84218667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34540 + ... + 36692.

It is an arithmetic number, because the mean of its divisors is an integer number (2442636).

Almost surely, 2^76681248 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 76681248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117246528).

76681248 is an abundant number, since it is smaller than the sum of its proper divisors (157811808).

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

76681248 is a wasteful number, since it uses less digits than its factorization.

76681248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 76681248 is about 8756.7829709317. The cubic root of 76681248 is about 424.8442298810.

The spelling of 76681248 in words is "seventy-six million, six hundred eighty-one thousand, two hundred forty-eight".