400076080 has 80 divisors (see below), whose sum is σ = 965009664. Its totient is φ = 154091520.

The previous prime is 400076063. The next prime is 400076081. The reversal of 400076080 is 80670004.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (400076081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875212 + ... + 875668.

Almost surely, 2^400076080 is an apocalyptic number.

400076080 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 400076080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482504832).

400076080 is an abundant number, since it is smaller than the sum of its proper divisors (564933584).

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

400076080 is a wasteful number, since it uses less digits than its factorization.

400076080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

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

The square root of 400076080 is about 20001.9019095685. The cubic root of 400076080 is about 736.8530102862.

The spelling of 400076080 in words is "four hundred million, seventy-six thousand, eighty".