96777600 has 192 divisors, whose sum is σ = 338081040. Its totient is φ = 24248320.

The previous prime is 96777581. The next prime is 96777619. The reversal of 96777600 is 677769.

It is an interprime number because it is at equal distance from previous prime (96777581) and next prime (96777619).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162904 + ... + 163496.

Almost surely, 2^96777600 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 96777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169040520).

96777600 is an abundant number, since it is smaller than the sum of its proper divisors (241303440).

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

96777600 is a wasteful number, since it uses less digits than its factorization.

96777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 96777600 is about 9837.5606732564. The cubic root of 96777600 is about 459.1186653569.

It can be divided in two parts, 96 and 777600, that multiplied together give a square (74649600 = 8640²).

The spelling of 96777600 in words is "ninety-six million, seven hundred seventy-seven thousand, six hundred".