485777680 has 80 divisors (see below), whose sum is σ = 1161086400. Its totient is φ = 188940800.

The previous prime is 485777659. The next prime is 485777711. The reversal of 485777680 is 86777584.

It is a tau number, because it is divible by the number of its divisors (80).

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, 476211 + ... + 477229.

It is an arithmetic number, because the mean of its divisors is an integer number (14513580).

Almost surely, 2^485777680 is an apocalyptic number.

485777680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580543200).

485777680 is an abundant number, since it is smaller than the sum of its proper divisors (675308720).

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

485777680 is a wasteful number, since it uses less digits than its factorization.

485777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The square root of 485777680 is about 22040.3647882697. The cubic root of 485777680 is about 786.1025145399.

The spelling of 485777680 in words is "four hundred eighty-five million, seven hundred seventy-seven thousand, six hundred eighty".