77577203000 has 128 divisors (see below), whose sum is σ = 202640106240. Its totient is φ = 27553680000.

The previous prime is 77577202979. The next prime is 77577203021. The reversal of 77577203000 is 30277577.

It is an interprime number because it is at equal distance from previous prime (77577202979) and next prime (77577203021).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 390995 + ... + 555005.

It is an arithmetic number, because the mean of its divisors is an integer number (1583125830).

Almost surely, 2^77577203000 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 77577203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101320053120).

77577203000 is an abundant number, since it is smaller than the sum of its proper divisors (125062903240).

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

77577203000 is a wasteful number, since it uses less digits than its factorization.

77577203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164086 (or 164072 counting only the distinct ones).

The product of its (nonzero) digits is 72030, while the sum is 38.

The spelling of 77577203000 in words is "seventy-seven billion, five hundred seventy-seven million, two hundred three thousand".