7838490800 has 360 divisors, whose sum is σ = 22885392384. Its totient is φ = 2570641920.

The previous prime is 7838490787. The next prime is 7838490853. The reversal of 7838490800 is 80948387.

It is a super-2 number, since 2×7838490800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61720337 + ... + 61720463.

Almost surely, 2^7838490800 is an apocalyptic number.

7838490800 is a gapful number since it is divisible by the number (70) 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 7838490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442696192).

7838490800 is an abundant number, since it is smaller than the sum of its proper divisors (15046901584).

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

7838490800 is a wasteful number, since it uses less digits than its factorization.

7838490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 7838490800 is about 88535.2517362435. The cubic root of 7838490800 is about 1986.4492965684.

The spelling of 7838490800 in words is "seven billion, eight hundred thirty-eight million, four hundred ninety thousand, eight hundred".