62798400 has 378 divisors, whose sum is σ = 262558530. Its totient is φ = 14192640.

The previous prime is 62798383. The next prime is 62798419. The reversal of 62798400 is 489726.

62798400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 62346816 = 672^2 + 7896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705556 + ... + 705644.

Almost surely, 2^62798400 is an apocalyptic number.

62798400 is a gapful number since it is divisible by the number (60) 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 62798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131279265).

62798400 is an abundant number, since it is smaller than the sum of its proper divisors (199760130).

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

62798400 is a wasteful number, since it uses less digits than its factorization.

62798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 62798400 is about 7924.5441509275. The cubic root of 62798400 is about 397.4808344859.

The spelling of 62798400 in words is "sixty-two million, seven hundred ninety-eight thousand, four hundred".