7970769600 has 672 divisors, whose sum is σ = 30042648576. Its totient is φ = 1838284800.

The previous prime is 7970769557. The next prime is 7970769607. The reversal of 7970769600 is 69670797.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970769607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58180732 + ... + 58180868.

Almost surely, 2^7970769600 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 7970769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021324288).

7970769600 is an abundant number, since it is smaller than the sum of its proper divisors (22071878976).

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

7970769600 is a wasteful number, since it uses less digits than its factorization.

7970769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

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

The square root of 7970769600 is about 89279.1666627775. The cubic root of 7970769600 is about 1997.5611605733.

The spelling of 7970769600 in words is "seven billion, nine hundred seventy million, seven hundred sixty-nine thousand, six hundred".