77033280 has 112 divisors (see below), whose sum is σ = 253105920. Its totient is φ = 19826688.

The previous prime is 77033269. The next prime is 77033287. The reversal of 77033280 is 8233077.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77033287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26457 + ... + 29223.

Almost surely, 2^77033280 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 77033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126552960).

77033280 is an abundant number, since it is smaller than the sum of its proper divisors (176072640).

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

77033280 is a wasteful number, since it uses less digits than its factorization.

77033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 77033280 is about 8776.8604865293. The cubic root of 77033280 is about 425.4933693710.

The spelling of 77033280 in words is "seventy-seven million, thirty-three thousand, two hundred eighty".