77205120 has 128 divisors (see below), whose sum is σ = 249696000. Its totient is φ = 20287488.

The previous prime is 77205119. The next prime is 77205131. The reversal of 77205120 is 2150277.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151426 + ... + 151934.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 2^77205120 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 77205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124848000).

77205120 is an abundant number, since it is smaller than the sum of its proper divisors (172490880).

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

77205120 is a wasteful number, since it uses less digits than its factorization.

77205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 77205120 is about 8786.6444106951. The cubic root of 77205120 is about 425.8095205206.

Adding to 77205120 its reverse (2150277), we get a palindrome (79355397).

The spelling of 77205120 in words is "seventy-seven million, two hundred five thousand, one hundred twenty".