7705276416 has 312 divisors, whose sum is σ = 24217182960. Its totient is φ = 2420637696.

The previous prime is 7705276409. The next prime is 7705276421. The reversal of 7705276416 is 6146725077.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39923616 + ... + 39923808.

Almost surely, 2^7705276416 is an apocalyptic number.

7705276416 is a gapful number since it is divisible by the number (76) 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 7705276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108591480).

7705276416 is an abundant number, since it is smaller than the sum of its proper divisors (16511906544).

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

7705276416 is a wasteful number, since it uses less digits than its factorization.

7705276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7705276416 is about 87779.7038956045. The cubic root of 7705276416 is about 1975.1317684664.

The spelling of 7705276416 in words is "seven billion, seven hundred five million, two hundred seventy-six thousand, four hundred sixteen".