7900838400 has 1440 divisors, whose sum is σ = 36442042560. Its totient is φ = 1486356480.

The previous prime is 7900838371. The next prime is 7900838453. The reversal of 7900838400 is 48380097.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 415833591 + ... + 415833609.

It is an arithmetic number, because the mean of its divisors is an integer number (25306974).

Almost surely, 2^7900838400 is an apocalyptic number.

7900838400 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 7900838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221021280).

7900838400 is an abundant number, since it is smaller than the sum of its proper divisors (28541204160).

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

7900838400 is a wasteful number, since it uses less digits than its factorization.

7900838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 7900838400 is about 88886.6604165102. The cubic root of 7900838400 is about 1991.7021538195.

The spelling of 7900838400 in words is "seven billion, nine hundred million, eight hundred thirty-eight thousand, four hundred".