77754000 has 80 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 20732800.

The previous prime is 77753993. The next prime is 77754013. The reversal of 77754000 is 45777.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 480 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (3133728).

Almost surely, 2^77754000 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 77754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

77754000 is an abundant number, since it is smaller than the sum of its proper divisors (172944240).

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

77754000 is a wasteful number, since it uses less digits than its factorization.

77754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12985 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 77754000 is about 8817.8228605478. The cubic root of 77754000 is about 426.8162181907.

Adding to 77754000 its reverse (45777), we get a palindrome (77799777).

The spelling of 77754000 in words is "seventy-seven million, seven hundred fifty-four thousand".