77658216577032 has 256 divisors, whose sum is σ = 241143598080000. Its totient is φ = 20293245923328.

The previous prime is 77658216576979. The next prime is 77658216577049. The reversal of 77658216577032 is 23077561285677.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759821469 + ... + 759923667.

It is an arithmetic number, because the mean of its divisors is an integer number (941967180000).

Almost surely, 2^{77658216577032} 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 77658216577032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120571799040000).

77658216577032 is an abundant number, since it is smaller than the sum of its proper divisors (163485381502968).

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

77658216577032 is a wasteful number, since it uses less digits than its factorization.

77658216577032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105420 (or 105416 counting only the distinct ones).

The product of its (nonzero) digits is 207446400, while the sum is 66.

The spelling of 77658216577032 in words is "seventy-seven trillion, six hundred fifty-eight billion, two hundred sixteen million, five hundred seventy-seven thousand, thirty-two".