7291006800 has 480 divisors, whose sum is σ = 30658513920. Its totient is φ = 1434931200.

The previous prime is 7291006747. The next prime is 7291006823. The reversal of 7291006800 is 86001927.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1753524 + ... + 1757676.

It is an arithmetic number, because the mean of its divisors is an integer number (63871904).

Almost surely, 2^7291006800 is an apocalyptic number.

7291006800 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 7291006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15329256960).

7291006800 is an abundant number, since it is smaller than the sum of its proper divisors (23367507120).

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

7291006800 is a wasteful number, since it uses less digits than its factorization.

7291006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7291006800 is about 85387.3925120096. The cubic root of 7291006800 is about 1939.0804796706.

The spelling of 7291006800 in words is "seven billion, two hundred ninety-one million, six thousand, eight hundred".