10076400 has 150 divisors (see below), whose sum is σ = 36279672. Its totient is φ = 2678400.

The previous prime is 10076383. The next prime is 10076419. The reversal of 10076400 is 467001.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32245 + ... + 32555.

Almost surely, 2^10076400 is an apocalyptic number.

10076400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10076400 is the 2592-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139836).

10076400 is an abundant number, since it is smaller than the sum of its proper divisors (26203272).

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

10076400 is a wasteful number, since it uses less digits than its factorization.

10076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10076400 is about 3174.3345759387. The cubic root of 10076400 is about 215.9907403438.

The spelling of 10076400 in words is "ten million, seventy-six thousand, four hundred".