77670010000 has 200 divisors, whose sum is σ = 207202773888. Its totient is φ = 27960000000.

The previous prime is 77670009979. The next prime is 77670010031. The reversal of 77670010000 is 1007677.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11106505 + ... + 11113495.

Almost surely, 2^77670010000 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 77670010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103601386944).

77670010000 is an abundant number, since it is smaller than the sum of its proper divisors (129532763888).

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

77670010000 is a wasteful number, since it uses less digits than its factorization.

77670010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 28.

Adding to 77670010000 its reverse (1007677), we get a palindrome (77671017677).

The spelling of 77670010000 in words is "seventy-seven billion, six hundred seventy million, ten thousand".