77027328 has 192 divisors, whose sum is σ = 262080000. Its totient is φ = 21897216.

The previous prime is 77027309. The next prime is 77027339. The reversal of 77027328 is 82372077.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 77027292 and 77027301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386973 + ... + 387171.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^77027328 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 77027328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

77027328 is an abundant number, since it is smaller than the sum of its proper divisors (185052672).

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

77027328 is a wasteful number, since it uses less digits than its factorization.

77027328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77027328 is about 8776.5214065711. The cubic root of 77027328 is about 425.4824104635.

The spelling of 77027328 in words is "seventy-seven million, twenty-seven thousand, three hundred twenty-eight".