7450879800 has 192 divisors, whose sum is σ = 28428180480. Its totient is φ = 1572042240.

The previous prime is 7450879789. The next prime is 7450879823. The reversal of 7450879800 is 89780547.

It is a self number, because there is not a number n which added to its sum of digits gives 7450879800.

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, 13632 + ... + 122831.

It is an arithmetic number, because the mean of its divisors is an integer number (148063440).

Almost surely, 2^7450879800 is an apocalyptic number.

7450879800 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 7450879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214090240).

7450879800 is an abundant number, since it is smaller than the sum of its proper divisors (20977300680).

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

7450879800 is a wasteful number, since it uses less digits than its factorization.

7450879800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136502 (or 136493 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 7450879800 is about 86318.4789022606. The cubic root of 7450879800 is about 1953.1511444138.

The spelling of 7450879800 in words is "seven billion, four hundred fifty million, eight hundred seventy-nine thousand, eight hundred".