7965377280 has 648 divisors, whose sum is σ = 32606394912. Its totient is φ = 1789820928.

The previous prime is 7965377267. The next prime is 7965377281. The reversal of 7965377280 is 827735697.

It is not an unprimeable number, because it can be changed into a prime (7965377281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58141372 + ... + 58141508.

Almost surely, 2^7965377280 is an apocalyptic number.

7965377280 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 7965377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303197456).

7965377280 is an abundant number, since it is smaller than the sum of its proper divisors (24641017632).

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

7965377280 is a wasteful number, since it uses less digits than its factorization.

7965377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7965377280 is about 89248.9623469091. The cubic root of 7965377280 is about 1997.1106010303.

The spelling of 7965377280 in words is "seven billion, nine hundred sixty-five million, three hundred seventy-seven thousand, two hundred eighty".