7913123400 has 384 divisors, whose sum is σ = 31015514880. Its totient is φ = 1624043520.

The previous prime is 7913123381. The next prime is 7913123429. The reversal of 7913123400 is 43213197.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2018242 + ... + 2022158.

It is an arithmetic number, because the mean of its divisors is an integer number (80769570).

Almost surely, 2^7913123400 is an apocalyptic number.

7913123400 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 7913123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507757440).

7913123400 is an abundant number, since it is smaller than the sum of its proper divisors (23102391480).

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

7913123400 is a wasteful number, since it uses less digits than its factorization.

7913123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 7913123400 is about 88955.7384320989. The cubic root of 7913123400 is about 1992.7339173229.

Adding to 7913123400 its reverse (43213197), we get a palindrome (7956336597).

The spelling of 7913123400 in words is "seven billion, nine hundred thirteen million, one hundred twenty-three thousand, four hundred".