7760055240 has 768 divisors, whose sum is σ = 32078592000. Its totient is φ = 1587548160.

The previous prime is 7760055239. The next prime is 7760055269. The reversal of 7760055240 is 425500677.

7760055240 is a `hidden beast` number, since 7 + 7 + 60 + 0 + 552 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7760055195 and 7760055204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115821687 + ... + 115821753.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 2^7760055240 is an apocalyptic number.

7760055240 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 7760055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

7760055240 is an abundant number, since it is smaller than the sum of its proper divisors (24318536760).

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

7760055240 is a wasteful number, since it uses less digits than its factorization.

7760055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 7760055240 is about 88091.1757215216. The cubic root of 7760055240 is about 1979.8012962519.

The spelling of 7760055240 in words is "seven billion, seven hundred sixty million, fifty-five thousand, two hundred forty".