77830080 has 224 divisors, whose sum is σ = 276514560. Its totient is φ = 18432000.

The previous prime is 77830079. The next prime is 77830087. The reversal of 77830080 is 8003877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77830087) 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, 309955 + ... + 310205.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^77830080 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 77830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

77830080 is an abundant number, since it is smaller than the sum of its proper divisors (198684480).

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

77830080 is a wasteful number, since it uses less digits than its factorization.

77830080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 77830080 is about 8822.1357958263. The cubic root of 77830080 is about 426.9553818462.

The spelling of 77830080 in words is "seventy-seven million, eight hundred thirty thousand, eighty".