816076934400 has 2592 divisors, whose sum is σ = 3680911073280. Its totient is φ = 155271168000.

The previous prime is 816076934377. The next prime is 816076934411. The reversal of 816076934400 is 4439670618.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 816076934400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13378310370 + ... + 13378310430.

Almost surely, 2^816076934400 is an apocalyptic number.

816076934400 is a gapful number since it is divisible by the number (80) 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 816076934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840455536640).

816076934400 is an abundant number, since it is smaller than the sum of its proper divisors (2864834138880).

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

816076934400 is a wasteful number, since it uses less digits than its factorization.

816076934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 816076934400 in words is "eight hundred sixteen billion, seventy-six million, nine hundred thirty-four thousand, four hundred".