77848320 has 288 divisors, whose sum is σ = 288449280. Its totient is φ = 17694720.

The previous prime is 77848319. The next prime is 77848343. The reversal of 77848320 is 2384877.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802512 + ... + 802608.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 2^77848320 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 77848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144224640).

77848320 is an abundant number, since it is smaller than the sum of its proper divisors (210600960).

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

77848320 is a wasteful number, since it uses less digits than its factorization.

77848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 77848320 is about 8823.1694985419. The cubic root of 77848320 is about 426.9887325245.

The spelling of 77848320 in words is "seventy-seven million, eight hundred forty-eight thousand, three hundred twenty".