96377680 has 80 divisors (see below), whose sum is σ = 260519040. Its totient is φ = 32472576.

The previous prime is 96377669. The next prime is 96377689. The reversal of 96377680 is 8677369.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 96377680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96377689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31582 + ... + 34498.

It is an arithmetic number, because the mean of its divisors is an integer number (3256488).

Almost surely, 2^96377680 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 96377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130259520).

96377680 is an abundant number, since it is smaller than the sum of its proper divisors (164141360).

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

96377680 is a wasteful number, since it uses less digits than its factorization.

96377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 96377680 is about 9817.2134539288. The cubic root of 96377680 is about 458.4853775086.

The spelling of 96377680 in words is "ninety-six million, three hundred seventy-seven thousand, six hundred eighty".