77486760 has 128 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 19070208.

The previous prime is 77486749. The next prime is 77486779. The reversal of 77486760 is 6768477.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11281 + ... + 16799.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^77486760 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 77486760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

77486760 is an abundant number, since it is smaller than the sum of its proper divisors (200721240).

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

77486760 is a wasteful number, since it uses less digits than its factorization.

77486760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 77486760 is about 8802.6564172413. The cubic root of 77486760 is about 426.3266686993.

The spelling of 77486760 in words is "seventy-seven million, four hundred eighty-six thousand, seven hundred sixty".