7838100480 has 352 divisors, whose sum is σ = 28863682560. Its totient is φ = 1778319360.

The previous prime is 7838100469. The next prime is 7838100527. The reversal of 7838100480 is 840018387.

It is a super-2 number, since 2×7838100480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28922745 + ... + 28923015.

Almost surely, 2^7838100480 is an apocalyptic number.

7838100480 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 7838100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431841280).

7838100480 is an abundant number, since it is smaller than the sum of its proper divisors (21025582080).

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

7838100480 is a wasteful number, since it uses less digits than its factorization.

7838100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 7838100480 is about 88533.0473890965. The cubic root of 7838100480 is about 1986.4163240749.

The spelling of 7838100480 in words is "seven billion, eight hundred thirty-eight million, one hundred thousand, four hundred eighty".