76809600 has 384 divisors, whose sum is σ = 323788800. Its totient is φ = 17418240.

The previous prime is 76809569. The next prime is 76809613. The reversal of 76809600 is 690867.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604737 + ... + 604863.

It is an arithmetic number, because the mean of its divisors is an integer number (843200).

Almost surely, 2^76809600 is an apocalyptic number.

76809600 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 76809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894400).

76809600 is an abundant number, since it is smaller than the sum of its proper divisors (246979200).

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

76809600 is a wasteful number, since it uses less digits than its factorization.

76809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76809600 is about 8764.1086255249. The cubic root of 76809600 is about 425.0811379113.

The spelling of 76809600 in words is "seventy-six million, eight hundred nine thousand, six hundred".