4007760880 has 40 divisors (see below), whose sum is σ = 9866167632. Its totient is φ = 1508803584.

The previous prime is 4007760871. The next prime is 4007760881. The reversal of 4007760880 is 880677004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007760881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472082 + ... + 1474801.

Almost surely, 2^4007760880 is an apocalyptic number.

4007760880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007760880 is an abundant number, since it is smaller than the sum of its proper divisors (5858406752).

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

4007760880 is a wasteful number, since it uses less digits than its factorization.

4007760880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946913 (or 2946907 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 4007760880 is about 63306.8786152026. The cubic root of 4007760880 is about 1588.4270244729.

The spelling of 4007760880 in words is "four billion, seven million, seven hundred sixty thousand, eight hundred eighty".