789972876 has 288 divisors, whose sum is σ = 2666926080. Its totient is φ = 191116800.

The previous prime is 789972863. The next prime is 789972877. The reversal of 789972876 is 678279987.

It is a super-2 number, since 2×789972876² = 1248114289631422752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (789972877) 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, 2491870 + ... + 2492186.

It is an arithmetic number, because the mean of its divisors is an integer number (9260160).

Almost surely, 2^789972876 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 789972876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333463040).

789972876 is an abundant number, since it is smaller than the sum of its proper divisors (1876953204).

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

789972876 is a wasteful number, since it uses less digits than its factorization.

789972876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The square root of 789972876 is about 28106.4561266624. The cubic root of 789972876 is about 924.4229665282.

The spelling of 789972876 in words is "seven hundred eighty-nine million, nine hundred seventy-two thousand, eight hundred seventy-six".