84162000780 has 384 divisors, whose sum is σ = 309865651200. Its totient is φ = 18695577600.

The previous prime is 84162000763. The next prime is 84162000899. The reversal of 84162000780 is 8700026148.

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 127 ways as a sum of consecutive naturals, for example, 10729660 + ... + 10737500.

It is an arithmetic number, because the mean of its divisors is an integer number (806941800).

Almost surely, 2^84162000780 is an apocalyptic number.

84162000780 is the 183480-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84162000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154932825600).

84162000780 is an abundant number, since it is smaller than the sum of its proper divisors (225703650420).

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

84162000780 is a wasteful number, since it uses less digits than its factorization.

84162000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8014 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 84162000780 in words is "eighty-four billion, one hundred sixty-two million, seven hundred eighty", and thus it is an aban number.