55777680 has 480 divisors, whose sum is σ = 244270080. Its totient is φ = 11612160.

The previous prime is 55777679. The next prime is 55777681. The reversal of 55777680 is 8677755.

55777680 is a `hidden beast` number, since 5 + 577 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55777679) and next prime (55777681).

It is a super-2 number, since 2×55777680² = 6222299172364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55777681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1799265 + ... + 1799295.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^55777680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

55777680 is an abundant number, since it is smaller than the sum of its proper divisors (188492400).

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

55777680 is a wasteful number, since it uses less digits than its factorization.

55777680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 55777680 is about 7468.4456214128. The cubic root of 55777680 is about 382.0792759639.

The spelling of 55777680 in words is "fifty-five million, seven hundred seventy-seven thousand, six hundred eighty".