77101605000 has 640 divisors, whose sum is σ = 309860812800. Its totient is φ = 17393184000.

The previous prime is 77101604953. The next prime is 77101605017. The reversal of 77101605000 is 50610177.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 78434509 + ... + 78435491.

It is an arithmetic number, because the mean of its divisors is an integer number (484157520).

Almost surely, 2^77101605000 is an apocalyptic number.

77101605000 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 77101605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154930406400).

77101605000 is an abundant number, since it is smaller than the sum of its proper divisors (232759207800).

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

77101605000 is a wasteful number, since it uses less digits than its factorization.

77101605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 77101605000 in words is "seventy-seven billion, one hundred one million, six hundred five thousand".