1970794760 has 192 divisors, whose sum is σ = 5314680000. Its totient is φ = 654635520.

The previous prime is 1970794757. The next prime is 1970794799. The reversal of 1970794760 is 674970791.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1970794699 and 1970794708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2666471 + ... + 2667209.

It is an arithmetic number, because the mean of its divisors is an integer number (27680625).

Almost surely, 2^1970794760 is an apocalyptic number.

1970794760 is a gapful number since it is divisible by the number (10) 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 1970794760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657340000).

1970794760 is an abundant number, since it is smaller than the sum of its proper divisors (3343885240).

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

1970794760 is a wasteful number, since it uses less digits than its factorization.

1970794760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 50.

The square root of 1970794760 is about 44393.6342283440. The cubic root of 1970794760 is about 1253.7582379934.

The spelling of 1970794760 in words is "one billion, nine hundred seventy million, seven hundred ninety-four thousand, seven hundred sixty".