77328160 has 192 divisors, whose sum is σ = 231662592. Its totient is φ = 23740416.

The previous prime is 77328133. The next prime is 77328161. The reversal of 77328160 is 6182377.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77328161) 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, 684264 + ... + 684376.

It is an arithmetic number, because the mean of its divisors is an integer number (1206576).

Almost surely, 2^77328160 is an apocalyptic number.

77328160 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 77328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

77328160 is an abundant number, since it is smaller than the sum of its proper divisors (154334432).

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

77328160 is a wasteful number, since it uses less digits than its factorization.

77328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 77328160 is about 8793.6431585549. The cubic root of 77328160 is about 426.0356013654.

The spelling of 77328160 in words is "seventy-seven million, three hundred twenty-eight thousand, one hundred sixty".