7782000336900 has 576 divisors, whose sum is σ = 27912463488000. Its totient is φ = 1848411187200.

The previous prime is 7782000336839. The next prime is 7782000336931. The reversal of 7782000336900 is 96330002877.

It is a happy number.

It is a super-2 number, since 2×7782000336900² (a number of 27 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 951457011 + ... + 951465189.

It is an arithmetic number, because the mean of its divisors is an integer number (48459138000).

Almost surely, 2^{7782000336900} 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 7782000336900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13956231744000).

7782000336900 is an abundant number, since it is smaller than the sum of its proper divisors (20130463151100).

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

7782000336900 is a wasteful number, since it uses less digits than its factorization.

7782000336900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9329 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 7782000336900 in words is "seven trillion, seven hundred eighty-two billion, three hundred thirty-six thousand, nine hundred".