77828352 has 144 divisors (see below), whose sum is σ = 244887552. Its totient is φ = 21473280.

The previous prime is 77828347. The next prime is 77828369. The reversal of 77828352 is 25382877.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 166423 + ... + 166889.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 2^77828352 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 77828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443776).

77828352 is an abundant number, since it is smaller than the sum of its proper divisors (167059200).

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

77828352 is a wasteful number, since it uses less digits than its factorization.

77828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 77828352 is about 8822.0378598145. The cubic root of 77828352 is about 426.9522220381.

The spelling of 77828352 in words is "seventy-seven million, eight hundred twenty-eight thousand, three hundred fifty-two".