77332320 has 384 divisors, whose sum is σ = 312439680. Its totient is φ = 17915904.

The previous prime is 77332319. The next prime is 77332397. The reversal of 77332320 is 2323377.

It is a happy number.

77332320 is a `hidden beast` number, since 7 + 7 + 332 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4548952 + ... + 4548968.

It is an arithmetic number, because the mean of its divisors is an integer number (813645).

Almost surely, 2^77332320 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 77332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

77332320 is an abundant number, since it is smaller than the sum of its proper divisors (235107360).

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

77332320 is a wasteful number, since it uses less digits than its factorization.

77332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 77332320 is about 8793.8796898752. The cubic root of 77332320 is about 426.0432409985.

Adding to 77332320 its reverse (2323377), we get a palindrome (79655697).

The spelling of 77332320 in words is "seventy-seven million, three hundred thirty-two thousand, three hundred twenty".