76842560 has 56 divisors (see below), whose sum is σ = 183733440. Its totient is φ = 30610944.

The previous prime is 76842539. The next prime is 76842581. The reversal of 76842560 is 6524867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76842539) and next prime (76842581).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140207 + ... + 140753.

Almost surely, 2^76842560 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 76842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91866720).

76842560 is an abundant number, since it is smaller than the sum of its proper divisors (106890880).

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

76842560 is a wasteful number, since it uses less digits than its factorization.

76842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 76842560 is about 8765.9888204355. The cubic root of 76842560 is about 425.1419318343.

The spelling of 76842560 in words is "seventy-six million, eight hundred forty-two thousand, five hundred sixty".