7760294640 has 960 divisors, whose sum is σ = 34808486400. Its totient is φ = 1574608896.

The previous prime is 7760294629. The next prime is 7760294683. The reversal of 7760294640 is 464920677.

It is a super-2 number, since 2×7760294640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34186207 + ... + 34186433.

It is an arithmetic number, because the mean of its divisors is an integer number (36258840).

Almost surely, 2^7760294640 is an apocalyptic number.

7760294640 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 7760294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404243200).

7760294640 is an abundant number, since it is smaller than the sum of its proper divisors (27048191760).

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

7760294640 is a wasteful number, since it uses less digits than its factorization.

7760294640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7760294640 is about 88092.5345304584. The cubic root of 7760294640 is about 1979.8216551944.

The spelling of 7760294640 in words is "seven billion, seven hundred sixty million, two hundred ninety-four thousand, six hundred forty".