77896320 has 128 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 20041728.

The previous prime is 77896307. The next prime is 77896337. The reversal of 77896320 is 2369877.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54981 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^77896320 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 77896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

77896320 is an abundant number, since it is smaller than the sum of its proper divisors (179143680).

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

77896320 is a wasteful number, since it uses less digits than its factorization.

77896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 77896320 is about 8825.8891903309. The cubic root of 77896320 is about 427.0764725820.

The spelling of 77896320 in words is "seventy-seven million, eight hundred ninety-six thousand, three hundred twenty".