77550000 has 240 divisors, whose sum is σ = 278982144. Its totient is φ = 18400000.

The previous prime is 77549987. The next prime is 77550019. The reversal of 77550000 is 5577.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1649977 + ... + 1650023.

Almost surely, 2^77550000 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 77550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139491072).

77550000 is an abundant number, since it is smaller than the sum of its proper divisors (201432144).

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

77550000 is a wasteful number, since it uses less digits than its factorization.

77550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

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

The square root of 77550000 is about 8806.2477821147. The cubic root of 77550000 is about 426.4426178294.

Adding to 77550000 its reverse (5577), we get a palindrome (77555577).

The spelling of 77550000 in words is "seventy-seven million, five hundred fifty thousand".