7874731200 has 336 divisors, whose sum is σ = 30135372800. Its totient is φ = 1799562240.

The previous prime is 7874731199. The next prime is 7874731219. The reversal of 7874731200 is 21374787.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7874731200² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 1644009 + ... + 1648791.

Almost surely, 2^7874731200 is an apocalyptic number.

7874731200 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 7874731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067686400).

7874731200 is an abundant number, since it is smaller than the sum of its proper divisors (22260641600).

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

7874731200 is a wasteful number, since it uses less digits than its factorization.

7874731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 7874731200 is about 88739.6822171457. The cubic root of 7874731200 is about 1989.5059672763.

The spelling of 7874731200 in words is "seven billion, eight hundred seventy-four million, seven hundred thirty-one thousand, two hundred".