7760541264 has 80 divisors (see below), whose sum is σ = 22981624320. Its totient is φ = 2210567040.

The previous prime is 7760541247. The next prime is 7760541281. The reversal of 7760541264 is 4621450677.

It is an interprime number because it is at equal distance from previous prime (7760541247) and next prime (7760541281).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76327 + ... + 146105.

It is an arithmetic number, because the mean of its divisors is an integer number (287270304).

Almost surely, 2^7760541264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7760541264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490812160).

7760541264 is an abundant number, since it is smaller than the sum of its proper divisors (15221083056).

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

7760541264 is a wasteful number, since it uses less digits than its factorization.

7760541264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70128 (or 70122 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 7760541264 is about 88093.9343201335. The cubic root of 7760541264 is about 1979.8426280392.

The spelling of 7760541264 in words is "seven billion, seven hundred sixty million, five hundred forty-one thousand, two hundred sixty-four".