7977760000 has 360 divisors, whose sum is σ = 24137023680. Its totient is φ = 2568192000.

The previous prime is 7977759991. The next prime is 7977760003. The reversal of 7977760000 is 677797.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7977760003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19039791 + ... + 19040209.

It is an arithmetic number, because the mean of its divisors is an integer number (67047288).

Almost surely, 2^7977760000 is an apocalyptic number.

7977760000 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 7977760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068511840).

7977760000 is an abundant number, since it is smaller than the sum of its proper divisors (16159263680).

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

7977760000 is an equidigital number, since it uses as much as digits as its factorization.

7977760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 129654, while the sum is 43.

The square root of 7977760000 is about 89318.3071939902. The cubic root of 7977760000 is about 1998.1449465871.

The spelling of 7977760000 in words is "seven billion, nine hundred seventy-seven million, seven hundred sixty thousand".