77760000 has 300 divisors, whose sum is σ = 290822532. Its totient is φ = 20736000.

The previous prime is 77759939. The next prime is 77760013. The reversal of 77760000 is 6777.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15551998 + ... + 15552002.

Almost surely, 2^77760000 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 77760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411266).

77760000 is an abundant number, since it is smaller than the sum of its proper divisors (213062532).

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

77760000 is an frugal number, since it uses more digits than its factorization.

77760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77760000 is about 8818.1630740194. The cubic root of 77760000 is about 426.8271965388.

Adding to 77760000 its reverse (6777), we get a palindrome (77766777).

The spelling of 77760000 in words is "seventy-seven million, seven hundred sixty thousand".