77631120 has 240 divisors, whose sum is σ = 303468672. Its totient is φ = 17418240.

The previous prime is 77631097. The next prime is 77631133. The reversal of 77631120 is 2113677.

77631120 is a `hidden beast` number, since 7 + 7 + 631 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367815 + ... + 368025.

Almost surely, 2^77631120 is an apocalyptic number.

77631120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151734336).

77631120 is an abundant number, since it is smaller than the sum of its proper divisors (225837552).

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

77631120 is a wasteful number, since it uses less digits than its factorization.

77631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77631120 is about 8810.8523991723. The cubic root of 77631120 is about 426.5912572892.

Adding to 77631120 its reverse (2113677), we get a palindrome (79744797).

The spelling of 77631120 in words is "seventy-seven million, six hundred thirty-one thousand, one hundred twenty".