7870262400 has 1728 divisors, whose sum is σ = 39579386400. Its totient is φ = 1509580800.

The previous prime is 7870262399. The next prime is 7870262443. The reversal of 7870262400 is 42620787.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 605404794 + ... + 605404806.

Almost surely, 2^7870262400 is an apocalyptic number.

7870262400 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 7870262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789693200).

7870262400 is an abundant number, since it is smaller than the sum of its proper divisors (31709124000).

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

7870262400 is a wasteful number, since it uses less digits than its factorization.

7870262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7870262400 is about 88714.4993786247. The cubic root of 7870262400 is about 1989.1295571126.

The spelling of 7870262400 in words is "seven billion, eight hundred seventy million, two hundred sixty-two thousand, four hundred".