77590240000 has 540 divisors, whose sum is σ = 241504331376. Its totient is φ = 24219648000.

The previous prime is 77590239983. The next prime is 77590240001. The reversal of 77590240000 is 4209577.

It is not an unprimeable number, because it can be changed into a prime (77590240001) 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 59 ways as a sum of consecutive naturals, for example, 1062879964 + ... + 1062880036.

Almost surely, 2^77590240000 is an apocalyptic number.

77590240000 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 77590240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120752165688).

77590240000 is an abundant number, since it is smaller than the sum of its proper divisors (163914091376).

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

77590240000 is an frugal number, since it uses more digits than its factorization.

77590240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

Adding to 77590240000 its reverse (4209577), we get a palindrome (77594449577).

The spelling of 77590240000 in words is "seventy-seven billion, five hundred ninety million, two hundred forty thousand".