7978776900 has 144 divisors (see below), whose sum is σ = 23914802688. Its totient is φ = 2051712000.

The previous prime is 7978776887. The next prime is 7978776901. The reversal of 7978776900 is 96778797.

It is a super-2 number, since 2×7978776900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7978776901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2909530 + ... + 2912270.

Almost surely, 2^7978776900 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 7978776900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957401344).

7978776900 is an abundant number, since it is smaller than the sum of its proper divisors (15936025788).

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

7978776900 is a wasteful number, since it uses less digits than its factorization.

7978776900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 9335088, while the sum is 60.

The square root of 7978776900 is about 89323.9995745824. Note that the first 3 decimals coincide. The cubic root of 7978776900 is about 1998.2298420660.

The spelling of 7978776900 in words is "seven billion, nine hundred seventy-eight million, seven hundred seventy-six thousand, nine hundred".