40077840 has 320 divisors, whose sum is σ = 154275840. Its totient is φ = 8478720.

The previous prime is 40077839. The next prime is 40077841. The reversal of 40077840 is 4877004.

It is an interprime number because it is at equal distance from previous prime (40077839) and next prime (40077841).

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

It is a junction number, because it is equal to n+sod(n) for n = 40077798 and 40077807.

It is not an unprimeable number, because it can be changed into a prime (40077841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852697 + ... + 852743.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^40077840 is an apocalyptic number.

40077840 is a gapful number since it is divisible by the number (40) 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 40077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

40077840 is an abundant number, since it is smaller than the sum of its proper divisors (114198000).

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

40077840 is a wasteful number, since it uses less digits than its factorization.

40077840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40077840 is about 6330.7061217529. The cubic root of 40077840 is about 342.2168864694.

The spelling of 40077840 in words is "forty million, seventy-seven thousand, eight hundred forty".