48790800 has 90 divisors (see below), whose sum is σ = 169330122. Its totient is φ = 13009920.

The previous prime is 48790787. The next prime is 48790811. The reversal of 48790800 is 809784.

It can be written as a sum of positive squares in 3 ways, for example, as 7420176 + 41370624 = 2724^2 + 6432^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3177 + ... + 10376.

Almost surely, 2^48790800 is an apocalyptic number.

48790800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48790800 is an abundant number, since it is smaller than the sum of its proper divisors (120539322).

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

48790800 is a wasteful number, since it uses less digits than its factorization.

48790800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577 (or 13563 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 48790800 is about 6985.0411595065. The cubic root of 48790800 is about 365.4090616217.

The spelling of 48790800 in words is "forty-eight million, seven hundred ninety thousand, eight hundred".