7399009800 has 864 divisors, whose sum is σ = 32416675200. Its totient is φ = 1554577920.

The previous prime is 7399009781. The next prime is 7399009837. The reversal of 7399009800 is 89009937.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 30958081 + ... + 30958319.

It is an arithmetic number, because the mean of its divisors is an integer number (37519300).

Almost surely, 2^7399009800 is an apocalyptic number.

7399009800 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 7399009800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208337600).

7399009800 is an abundant number, since it is smaller than the sum of its proper divisors (25017665400).

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

7399009800 is a wasteful number, since it uses less digits than its factorization.

7399009800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 7399009800 is about 86017.4970572848. The cubic root of 7399009800 is about 1948.6082376710.

It can be divided in two parts, 739900 and 9800, that added together give a triangular number (749700 = T₁₂₂₄).

The spelling of 7399009800 in words is "seven billion, three hundred ninety-nine million, nine thousand, eight hundred".