77048160 has 192 divisors, whose sum is σ = 289723392. Its totient is φ = 16828416.

The previous prime is 77048149. The next prime is 77048161. The reversal of 77048160 is 6184077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77048161) 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, 76782 + ... + 77778.

It is an arithmetic number, because the mean of its divisors is an integer number (1508976).

Almost surely, 2^77048160 is an apocalyptic number.

77048160 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 77048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144861696).

77048160 is an abundant number, since it is smaller than the sum of its proper divisors (212675232).

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

77048160 is a wasteful number, since it uses less digits than its factorization.

77048160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1037 counting only the distinct ones).

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

The square root of 77048160 is about 8777.7081291189. The cubic root of 77048160 is about 425.5207641702.

The spelling of 77048160 in words is "seventy-seven million, forty-eight thousand, one hundred sixty".