77009377536 has 720 divisors, whose sum is σ = 290520620544. Its totient is φ = 19743326208.

The previous prime is 77009377517. The next prime is 77009377537. The reversal of 77009377536 is 63577390077.

It is a happy number.

77009377536 is a `hidden beast` number, since 7 + 70 + 0 + 9 + 37 + 7 + 536 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (77009377537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69817561 + ... + 69818663.

Almost surely, 2^77009377536 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 77009377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145260310272).

77009377536 is an abundant number, since it is smaller than the sum of its proper divisors (213511243008).

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

77009377536 is a wasteful number, since it uses less digits than its factorization.

77009377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 5834430, while the sum is 54.

The spelling of 77009377536 in words is "seventy-seven billion, nine million, three hundred seventy-seven thousand, five hundred thirty-six".