7901788400 has 240 divisors, whose sum is σ = 22510464000. Its totient is φ = 2633472000.

The previous prime is 7901788399. The next prime is 7901788511. The reversal of 7901788400 is 48871097.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 2590076 + ... + 2593124.

It is an arithmetic number, because the mean of its divisors is an integer number (93793600).

Almost surely, 2^7901788400 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 7901788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11255232000).

7901788400 is an abundant number, since it is smaller than the sum of its proper divisors (14608675600).

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

7901788400 is a wasteful number, since it uses less digits than its factorization.

7901788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 7901788400 is about 88892.0041398550. The cubic root of 7901788400 is about 1991.7819783107.

The spelling of 7901788400 in words is "seven billion, nine hundred one million, seven hundred eighty-eight thousand, four hundred".