8007377472 has 70 divisors (see below), whose sum is σ = 23736390678. Its totient is φ = 2669124096.

The previous prime is 8007377471. The next prime is 8007377501. The reversal of 8007377472 is 2747737008.

It can be written as a sum of positive squares in only one way, i.e., 6364210176 + 1643167296 = 79776^2 + 40536^2 .

It is a super-2 number, since 2×8007377472² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8007377471) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 767133 + ... + 777500.

Almost surely, 2^8007377472 is an apocalyptic number.

It is an amenable number.

8007377472 is an abundant number, since it is smaller than the sum of its proper divisors (15729013206).

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

8007377472 is a wasteful number, since it uses less digits than its factorization.

8007377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544657 (or 1544638 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 8007377472 is about 89483.9509185865. The cubic root of 8007377472 is about 2000.6146004471.

The spelling of 8007377472 in words is "eight billion, seven million, three hundred seventy-seven thousand, four hundred seventy-two".