7977327540 has 384 divisors, whose sum is σ = 28829122560. Its totient is φ = 1602865152.

The previous prime is 7977327509. The next prime is 7977327551. The reversal of 7977327540 is 457237797.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13141917 + ... + 13142523.

It is an arithmetic number, because the mean of its divisors is an integer number (75075840).

Almost surely, 2^7977327540 is an apocalyptic number.

7977327540 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 7977327540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414561280).

7977327540 is an abundant number, since it is smaller than the sum of its proper divisors (20851795020).

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

7977327540 is a wasteful number, since it uses less digits than its factorization.

7977327540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 51.

The square root of 7977327540 is about 89315.8862689052. The cubic root of 7977327540 is about 1998.1088406551.

The spelling of 7977327540 in words is "seven billion, nine hundred seventy-seven million, three hundred twenty-seven thousand, five hundred forty".