53078900 has 72 divisors (see below), whose sum is σ = 132658176. Its totient is φ = 18057600.

The previous prime is 53078891. The next prime is 53078953. The reversal of 53078900 is 987035.

It is a congruent number.

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, 133502 + ... + 133898.

Almost surely, 2^53078900 is an apocalyptic number.

53078900 is a gapful number since it is divisible by the number (50) 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 53078900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66329088).

53078900 is an abundant number, since it is smaller than the sum of its proper divisors (79579276).

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

53078900 is a wasteful number, since it uses less digits than its factorization.

53078900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 53078900 is about 7285.5267482866. The cubic root of 53078900 is about 375.8148798249.

The spelling of 53078900 in words is "fifty-three million, seventy-eight thousand, nine hundred".