77798160 has 360 divisors, whose sum is σ = 308730240. Its totient is φ = 17487360.

The previous prime is 77798159. The next prime is 77798177. The reversal of 77798160 is 6189777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1655257 + ... + 1655303.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 2^77798160 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 77798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

77798160 is an abundant number, since it is smaller than the sum of its proper divisors (230932080).

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

77798160 is a wasteful number, since it uses less digits than its factorization.

77798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 77798160 is about 8820.3265245681. The cubic root of 77798160 is about 426.8970056189.

The spelling of 77798160 in words is "seventy-seven million, seven hundred ninety-eight thousand, one hundred sixty".