77287080 has 192 divisors, whose sum is σ = 260357760. Its totient is φ = 18330624.

The previous prime is 77287057. The next prime is 77287081. The reversal of 77287080 is 8078277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77287081) 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 47 ways as a sum of consecutive naturals, for example, 750309 + ... + 750411.

It is an arithmetic number, because the mean of its divisors is an integer number (1356030).

Almost surely, 2^77287080 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 77287080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130178880).

77287080 is an abundant number, since it is smaller than the sum of its proper divisors (183070680).

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

77287080 is a wasteful number, since it uses less digits than its factorization.

77287080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 77287080 is about 8791.3070700551. The cubic root of 77287080 is about 425.9601452719.

The spelling of 77287080 in words is "seventy-seven million, two hundred eighty-seven thousand, eighty".