7870528400 has 120 divisors (see below), whose sum is σ = 21641412480. Its totient is φ = 2694574080.

The previous prime is 7870528381. The next prime is 7870528409. The reversal of 7870528400 is 48250787.

It is not an unprimeable number, because it can be changed into a prime (7870528409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482016 + ... + 2485184.

It is an arithmetic number, because the mean of its divisors is an integer number (180345104).

Almost surely, 2^7870528400 is an apocalyptic number.

7870528400 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 7870528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820706240).

7870528400 is an abundant number, since it is smaller than the sum of its proper divisors (13770884080).

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

7870528400 is a wasteful number, since it uses less digits than its factorization.

7870528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 7870528400 is about 88715.9985571937. The cubic root of 7870528400 is about 1989.1519664671.

The spelling of 7870528400 in words is "seven billion, eight hundred seventy million, five hundred twenty-eight thousand, four hundred".