7970135400 has 192 divisors, whose sum is σ = 27564307200. Its totient is φ = 2116730880.

The previous prime is 7970135363. The next prime is 7970135413. The reversal of 7970135400 is 45310797.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 1384929 + ... + 1390671.

It is an arithmetic number, because the mean of its divisors is an integer number (143564100).

Almost surely, 2^7970135400 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 7970135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782153600).

7970135400 is an abundant number, since it is smaller than the sum of its proper divisors (19594171800).

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

7970135400 is a wasteful number, since it uses less digits than its factorization.

7970135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7970135400 is about 89275.6148116606. The cubic root of 7970135400 is about 1997.5081800393.

The spelling of 7970135400 in words is "seven billion, nine hundred seventy million, one hundred thirty-five thousand, four hundred".