7770540960 has 576 divisors, whose sum is σ = 34364977920. Its totient is φ = 1552711680.

The previous prime is 7770540901. The next prime is 7770540983. The reversal of 7770540960 is 690450777.

It is a super-2 number, since 2×7770540960² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488200 + ... + 2491320.

It is an arithmetic number, because the mean of its divisors is an integer number (59661420).

Almost surely, 2^7770540960 is an apocalyptic number.

7770540960 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 7770540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182488960).

7770540960 is an abundant number, since it is smaller than the sum of its proper divisors (26594436960).

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

7770540960 is a wasteful number, since it uses less digits than its factorization.

7770540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 7770540960 is about 88150.6719202979. The cubic root of 7770540960 is about 1980.6926257583.

The spelling of 7770540960 in words is "seven billion, seven hundred seventy million, five hundred forty thousand, nine hundred sixty".