7977354840 has 576 divisors, whose sum is σ = 33275642400. Its totient is φ = 1641959424.

The previous prime is 7977354823. The next prime is 7977354863. The reversal of 7977354840 is 484537797.

7977354840 is a `hidden beast` number, since 7 + 97 + 7 + 3 + 548 + 4 + 0 = 666.

It is a super-3 number, since 3×7977354840³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 9860356 + ... + 9861164.

Almost surely, 2^7977354840 is an apocalyptic number.

7977354840 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 7977354840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16637821200).

7977354840 is an abundant number, since it is smaller than the sum of its proper divisors (25298287560).

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

7977354840 is a wasteful number, since it uses less digits than its factorization.

7977354840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 7977354840 is about 89316.0390971297. The cubic root of 7977354840 is about 1998.1111199610. Note that the first 5 decimals are identical.

The spelling of 7977354840 in words is "seven billion, nine hundred seventy-seven million, three hundred fifty-four thousand, eight hundred forty".