655776000 has 720 divisors, whose sum is σ = 2777943168. Its totient is φ = 152064000.

The previous prime is 655775999. The next prime is 655776029. The reversal of 655776000 is 677556.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511989 + ... + 28512011.

Almost surely, 2^655776000 is an apocalyptic number.

655776000 is a gapful number since it is divisible by the number (60) 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 655776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388971584).

655776000 is an abundant number, since it is smaller than the sum of its proper divisors (2122167168).

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

655776000 is a wasteful number, since it uses less digits than its factorization.

655776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 655776000 is about 25608.1237110414. The cubic root of 655776000 is about 868.7973871293.

The spelling of 655776000 in words is "six hundred fifty-five million, seven hundred seventy-six thousand".