7829280900 has 216 divisors, whose sum is σ = 28699454784. Its totient is φ = 1747872000.

The previous prime is 7829280881. The next prime is 7829280917. The reversal of 7829280900 is 90829287.

It is a super-2 number, since 2×7829280900² (a number of 21 digits) contains 22 as substring.

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

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, 256450 + ... + 285350.

Almost surely, 2^7829280900 is an apocalyptic number.

7829280900 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 7829280900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349727392).

7829280900 is an abundant number, since it is smaller than the sum of its proper divisors (20870173884).

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

7829280900 is a wasteful number, since it uses less digits than its factorization.

7829280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28971 (or 28961 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 7829280900 is about 88483.2238336737. The cubic root of 7829280900 is about 1985.6709932865.

The spelling of 7829280900 in words is "seven billion, eight hundred twenty-nine million, two hundred eighty thousand, nine hundred".