77310848 has 64 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 36085248.

The previous prime is 77310847. The next prime is 77310853. The reversal of 77310848 is 84801377.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77310847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201665 + ... + 202047.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^77310848 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 77310848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

77310848 is an abundant number, since it is smaller than the sum of its proper divisors (87194752).

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

77310848 is a wasteful number, since it uses less digits than its factorization.

77310848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 77310848 is about 8792.6587560305. The cubic root of 77310848 is about 426.0038057952.

The spelling of 77310848 in words is "seventy-seven million, three hundred ten thousand, eight hundred forty-eight".