4000756800 has 84 divisors (see below), whose sum is σ = 13125832016. Its totient is φ = 1066867200.

The previous prime is 4000756723. The next prime is 4000756811. The reversal of 4000756800 is 86570004.

It is a happy number.

4000756800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411946 + ... + 421545.

Almost surely, 2^4000756800 is an apocalyptic number.

4000756800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000756800 is an abundant number, since it is smaller than the sum of its proper divisors (9125075216).

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

4000756800 is a wasteful number, since it uses less digits than its factorization.

4000756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833516 (or 833501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4000756800 is about 63251.5359497301. The cubic root of 4000756800 is about 1587.5011577481.

The spelling of 4000756800 in words is "four billion, seven hundred fifty-six thousand, eight hundred".