40076800 has 120 divisors (see below), whose sum is σ = 103511232. Its totient is φ = 15360000.

The previous prime is 40076797. The next prime is 40076801. The reversal of 40076800 is 867004.

It is a super-2 number, since 2×40076800² = 3212299796480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40076801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396750 + ... + 396850.

Almost surely, 2^40076800 is an apocalyptic number.

40076800 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 40076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51755616).

40076800 is an abundant number, since it is smaller than the sum of its proper divisors (63434432).

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

40076800 is a wasteful number, since it uses less digits than its factorization.

40076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 40076800 is about 6330.6239818836. The cubic root of 40076800 is about 342.2139263245.

The spelling of 40076800 in words is "forty million, seventy-six thousand, eight hundred".