77832019800 has 192 divisors, whose sum is σ = 268950420000. Its totient is φ = 20688445440.

The previous prime is 77832019781. The next prime is 77832019807. The reversal of 77832019800 is 891023877.

It is a super-2 number, since 2×77832019800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77832019807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1667176 + ... + 1713224.

Almost surely, 2^77832019800 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 77832019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134475210000).

77832019800 is an abundant number, since it is smaller than the sum of its proper divisors (191118400200).

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

77832019800 is a wasteful number, since it uses less digits than its factorization.

77832019800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46387 (or 46372 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 77832019800 in words is "seventy-seven billion, eight hundred thirty-two million, nineteen thousand, eight hundred".