40080768 has 256 divisors, whose sum is σ = 138915840. Its totient is φ = 9953280.

The previous prime is 40080767. The next prime is 40080769. The reversal of 40080768 is 86708004.

It is an interprime number because it is at equal distance from previous prime (40080767) and next prime (40080769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40080767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083246 + ... + 1083282.

It is an arithmetic number, because the mean of its divisors is an integer number (542640).

Almost surely, 2^40080768 is an apocalyptic number.

40080768 is a gapful number since it is divisible by the number (48) 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 40080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

40080768 is an abundant number, since it is smaller than the sum of its proper divisors (98835072).

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

40080768 is a wasteful number, since it uses less digits than its factorization.

40080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 40080768 is about 6330.9373713535. The cubic root of 40080768 is about 342.2252201408.

The spelling of 40080768 in words is "forty million, eighty thousand, seven hundred sixty-eight".