77328900 has 216 divisors, whose sum is σ = 270545184. Its totient is φ = 18316800.

The previous prime is 77328899. The next prime is 77328919. The reversal of 77328900 is 982377.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 722647 + ... + 722753.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^77328900 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 77328900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135272592).

77328900 is an abundant number, since it is smaller than the sum of its proper divisors (193216284).

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

77328900 is a wasteful number, since it uses less digits than its factorization.

77328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77328900 is about 8793.6852343031. The cubic root of 77328900 is about 426.0369603586.

The spelling of 77328900 in words is "seventy-seven million, three hundred twenty-eight thousand, nine hundred".