7157030400 has 840 divisors, whose sum is σ = 29116339560. Its totient is φ = 1731870720.

The previous prime is 7157030399. The next prime is 7157030429. The reversal of 7157030400 is 40307517.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 121305571 + ... + 121305629.

It is an arithmetic number, because the mean of its divisors is an integer number (34662309).

Almost surely, 2^7157030400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7157030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558169780).

7157030400 is an abundant number, since it is smaller than the sum of its proper divisors (21959309160).

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

7157030400 is an equidigital number, since it uses as much as digits as its factorization.

7157030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 7157030400 is about 84599.2340390857. The cubic root of 7157030400 is about 1927.1297415955.

Adding to 7157030400 its reverse (40307517), we get a palindrome (7197337917).

The spelling of 7157030400 in words is "seven billion, one hundred fifty-seven million, thirty thousand, four hundred".