77648760 has 128 divisors (see below), whose sum is σ = 295833600. Its totient is φ = 17746560.

The previous prime is 77648749. The next prime is 77648761. The reversal of 77648760 is 6784677.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77648761) 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, 2425 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (2311200).

Almost surely, 2^77648760 is an apocalyptic number.

77648760 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 77648760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147916800).

77648760 is an abundant number, since it is smaller than the sum of its proper divisors (218184840).

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

77648760 is a wasteful number, since it uses less digits than its factorization.

77648760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77648760 is about 8811.8533805324. The cubic root of 77648760 is about 426.6235660673.

The spelling of 77648760 in words is "seventy-seven million, six hundred forty-eight thousand, seven hundred sixty".