77010080 has 96 divisors (see below), whose sum is σ = 215187840. Its totient is φ = 25482240.

The previous prime is 77010077. The next prime is 77010091. The reversal of 77010080 is 8001077.

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, 31295 + ... + 33665.

It is an arithmetic number, because the mean of its divisors is an integer number (2241540).

Almost surely, 2^77010080 is an apocalyptic number.

77010080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107593920).

77010080 is an abundant number, since it is smaller than the sum of its proper divisors (138177760).

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

77010080 is a wasteful number, since it uses less digits than its factorization.

77010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 77010080 is about 8775.5387299014. The cubic root of 77010080 is about 425.4506500107.

The spelling of 77010080 in words is "seventy-seven million, ten thousand, eighty".