77781522000 has 960 divisors, whose sum is σ = 321573417984. Its totient is φ = 16024780800.

The previous prime is 77781521981. The next prime is 77781522001. The reversal of 77781522000 is 22518777.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77781522000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77781522001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179633784 + ... + 179634216.

Almost surely, 2^77781522000 is an apocalyptic number.

77781522000 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 77781522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160786708992).

77781522000 is an abundant number, since it is smaller than the sum of its proper divisors (243791895984).

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

77781522000 is a wasteful number, since it uses less digits than its factorization.

77781522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The spelling of 77781522000 in words is "seventy-seven billion, seven hundred eighty-one million, five hundred twenty-two thousand".