7970697600 has 384 divisors, whose sum is σ = 28002672000. Its totient is φ = 1986969600.

The previous prime is 7970697569. The next prime is 7970697601. The reversal of 7970697600 is 67960797.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970697601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16233355 + ... + 16233845.

It is an arithmetic number, because the mean of its divisors is an integer number (72923625).

Almost surely, 2^7970697600 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 7970697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001336000).

7970697600 is an abundant number, since it is smaller than the sum of its proper divisors (20031974400).

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

7970697600 is a wasteful number, since it uses less digits than its factorization.

7970697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The square root of 7970697600 is about 89278.7634322967. The cubic root of 7970697600 is about 1997.5551458953. Note that the first 3 decimals are identical.

The spelling of 7970697600 in words is "seven billion, nine hundred seventy million, six hundred ninety-seven thousand, six hundred".