77130144 has 288 divisors, whose sum is σ = 282522240. Its totient is φ = 20155392.

The previous prime is 77130113. The next prime is 77130161. The reversal of 77130144 is 44103177.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×77130144² = 11898118226921472, which contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 707562 + ... + 707670.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 2^77130144 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 77130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141261120).

77130144 is an abundant number, since it is smaller than the sum of its proper divisors (205392096).

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

77130144 is a wasteful number, since it uses less digits than its factorization.

77130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 77130144 is about 8782.3768992227. The cubic root of 77130144 is about 425.6716374598.

The spelling of 77130144 in words is "seventy-seven million, one hundred thirty thousand, one hundred forty-four".