55760000 has 160 divisors (see below), whose sum is σ = 150561180. Its totient is φ = 20480000.

The previous prime is 55759997. The next prime is 55760009. The reversal of 55760000 is 6755.

It can be written as a sum of positive squares in 10 ways, for example, as 9193024 + 46566976 = 3032^2 + 6824^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (55760009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359980 + ... + 1360020.

Almost surely, 2^55760000 is an apocalyptic number.

55760000 is a gapful number since it is divisible by the number (50) 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 55760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75280590).

55760000 is an abundant number, since it is smaller than the sum of its proper divisors (94801180).

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

55760000 is an equidigital number, since it uses as much as digits as its factorization.

55760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 55760000 is about 7467.2618810378. The cubic root of 55760000 is about 382.0389021354.

Adding to 55760000 its reverse (6755), we get a palindrome (55766755).

The spelling of 55760000 in words is "fifty-five million, seven hundred sixty thousand".