40780800 has 264 divisors, whose sum is σ = 152296800. Its totient is φ = 10690560.

The previous prime is 40780787. The next prime is 40780849. The reversal of 40780800 is 808704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691171 + ... + 691229.

Almost surely, 2^40780800 is an apocalyptic number.

40780800 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 40780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76148400).

40780800 is an abundant number, since it is smaller than the sum of its proper divisors (111516000).

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

40780800 is a wasteful number, since it uses less digits than its factorization.

40780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 40780800 is about 6385.9846539120. The cubic root of 40780800 is about 344.2061140841.

The spelling of 40780800 in words is "forty million, seven hundred eighty thousand, eight hundred".