77557502000 has 320 divisors, whose sum is σ = 218408306688. Its totient is φ = 26324480000.

The previous prime is 77557501979. The next prime is 77557502003. The reversal of 77557502000 is 20575577.

It is a happy number.

It is a super-2 number, since 2×77557502000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77557502003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48993209 + ... + 48994791.

Almost surely, 2^77557502000 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 77557502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109204153344).

77557502000 is an abundant number, since it is smaller than the sum of its proper divisors (140850804688).

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

77557502000 is a wasteful number, since it uses less digits than its factorization.

77557502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 85750, while the sum is 38.

The spelling of 77557502000 in words is "seventy-seven billion, five hundred fifty-seven million, five hundred two thousand".