10378080 has 72 divisors (see below), whose sum is σ = 35420112. Its totient is φ = 2767104.

The previous prime is 10378073. The next prime is 10378091. The reversal of 10378080 is 8087301.

10378080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2164 + ... + 5043.

It is an arithmetic number, because the mean of its divisors is an integer number (491946).

Almost surely, 2^10378080 is an apocalyptic number.

10378080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10378080 is an abundant number, since it is smaller than the sum of its proper divisors (25042032).

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

10378080 is a wasteful number, since it uses less digits than its factorization.

10378080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10378080 is about 3221.5027549267. The cubic root of 10378080 is about 218.1251140521.

The spelling of 10378080 in words is "ten million, three hundred seventy-eight thousand, eighty".