40077960 has 128 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 9427968.

The previous prime is 40077953. The next prime is 40077991. The reversal of 40077960 is 6977004.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35322 + ... + 36438.

It is an arithmetic number, because the mean of its divisors is an integer number (1056510).

Almost surely, 2^40077960 is an apocalyptic number.

40077960 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 40077960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

40077960 is an abundant number, since it is smaller than the sum of its proper divisors (95155320).

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

40077960 is a wasteful number, since it uses less digits than its factorization.

40077960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 40077960 is about 6330.7155993616. The cubic root of 40077960 is about 342.2172280213.

The spelling of 40077960 in words is "forty million, seventy-seven thousand, nine hundred sixty".