7700740040 has 192 divisors, whose sum is σ = 21201879600. Its totient is φ = 2506291200.

The previous prime is 7700740037. The next prime is 7700740063. The reversal of 7700740040 is 400470077.

7700740040 = 4872² + 4873² + ... + 5176².

It can be written as a sum of positive squares in 8 ways, for example, as 1872639076 + 5828100964 = 43274^2 + 76342^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 7700739985 and 7700740012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3466130 + ... + 3468350.

Almost surely, 2^7700740040 is an apocalyptic number.

7700740040 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 7700740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600939800).

7700740040 is an abundant number, since it is smaller than the sum of its proper divisors (13501139560).

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

7700740040 is a wasteful number, since it uses less digits than its factorization.

7700740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 29.

The square root of 7700740040 is about 87753.8605418588. The cubic root of 7700740040 is about 1974.7440817787.

The spelling of 7700740040 in words is "seven billion, seven hundred million, seven hundred forty thousand, forty".