7760324040 has 192 divisors, whose sum is σ = 27409959360. Its totient is φ = 1752307200.

The previous prime is 7760324021. The next prime is 7760324081. The reversal of 7760324040 is 404230677.

It is a super-3 number, since 3×7760324040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7760323992 and 7760324010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480090 + ... + 495990.

It is an arithmetic number, because the mean of its divisors is an integer number (142760205).

Almost surely, 2^7760324040 is an apocalyptic number.

7760324040 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 7760324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704979680).

7760324040 is an abundant number, since it is smaller than the sum of its proper divisors (19649635320).

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

7760324040 is a wasteful number, since it uses less digits than its factorization.

7760324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16012 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 7760324040 is about 88092.7014002863. The cubic root of 7760324040 is about 1979.8241553866.

The spelling of 7760324040 in words is "seven billion, seven hundred sixty million, three hundred twenty-four thousand, forty".