557766000 has 400 divisors, whose sum is σ = 2204867808. Its totient is φ = 134784000.

The previous prime is 557765993. The next prime is 557766037. The reversal of 557766000 is 667755.

557766000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×557766000² = 622205821512000000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1781844 + ... + 1782156.

Almost surely, 2^557766000 is an apocalyptic number.

557766000 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 557766000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102433904).

557766000 is an abundant number, since it is smaller than the sum of its proper divisors (1647101808).

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

557766000 is a wasteful number, since it uses less digits than its factorization.

557766000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

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

The square root of 557766000 is about 23617.0700977069. The cubic root of 557766000 is about 823.1595335785.

It can be divided in two parts, 55776 and 6000, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 557766000 in words is "five hundred fifty-seven million, seven hundred sixty-six thousand".