7830950400 has 1200 divisors, whose sum is σ = 36101064384. Its totient is φ = 1632337920.

The previous prime is 7830950371. The next prime is 7830950441. The reversal of 7830950400 is 40590387.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×7830950400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94348759 + ... + 94348841.

Almost surely, 2^7830950400 is an apocalyptic number.

7830950400 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 7830950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18050532192).

7830950400 is an abundant number, since it is smaller than the sum of its proper divisors (28270113984).

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

7830950400 is a wasteful number, since it uses less digits than its factorization.

7830950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7830950400 is about 88492.6573225146. The cubic root of 7830950400 is about 1985.8121234090.

The spelling of 7830950400 in words is "seven billion, eight hundred thirty million, nine hundred fifty thousand, four hundred".