55770000 has 300 divisors, whose sum is σ = 212669424. Its totient is φ = 12480000.

The previous prime is 55769999. The next prime is 55770007. The reversal of 55770000 is 7755.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×55770000² = 6220585800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55770007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4289994 + ... + 4290006.

Almost surely, 2^55770000 is an apocalyptic number.

55770000 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 55770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106334712).

55770000 is an abundant number, since it is smaller than the sum of its proper divisors (156899424).

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

55770000 is a wasteful number, since it uses less digits than its factorization.

55770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 55770000 is about 7467.9314404994. The cubic root of 55770000 is about 382.0617390595.

Adding to 55770000 its reverse (7755), we get a palindrome (55777755).

The spelling of 55770000 in words is "fifty-five million, seven hundred seventy thousand".