76465680 has 160 divisors (see below), whose sum is σ = 248793600. Its totient is φ = 19408896.

The previous prime is 76465679. The next prime is 76465681. The reversal of 76465680 is 8656467.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76465679) and next prime (76465681).

It is not an unprimeable number, because it can be changed into a prime (76465681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701466 + ... + 701574.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 2^76465680 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 76465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124396800).

76465680 is an abundant number, since it is smaller than the sum of its proper divisors (172327920).

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

76465680 is a wasteful number, since it uses less digits than its factorization.

76465680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 76465680 is about 8744.4656783591. The cubic root of 76465680 is about 424.4457457774.

The spelling of 76465680 in words is "seventy-six million, four hundred sixty-five thousand, six hundred eighty".