7942881600 has 336 divisors, whose sum is σ = 30481828800. Its totient is φ = 2006415360.

The previous prime is 7942881599. The next prime is 7942881613. The reversal of 7942881600 is 61882497.

It is a super-3 number, since 3×7942881600³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 815962 + ... + 825638.

Almost surely, 2^7942881600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7942881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240914400).

7942881600 is an abundant number, since it is smaller than the sum of its proper divisors (22538947200).

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

7942881600 is a wasteful number, since it uses less digits than its factorization.

7942881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 7942881600 is about 89122.8455560077. The cubic root of 7942881600 is about 1995.2287600192.

It can be divided in two parts, 79428 and 81600, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 7942881600 in words is "seven billion, nine hundred forty-two million, eight hundred eighty-one thousand, six hundred".