819400088772 has 24 divisors (see below), whose sum is σ = 2124370600800. Its totient is φ = 273133362888.

The previous prime is 819400088761. The next prime is 819400088777. The reversal of 819400088772 is 277880004918.

It is a happy number.

It is a super-2 number, since 2×819400088772² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (819400088777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3793518822 + ... + 3793519037.

It is an arithmetic number, because the mean of its divisors is an integer number (88515441700).

Almost surely, 2^819400088772 is an apocalyptic number.

It is an amenable number.

819400088772 is an abundant number, since it is smaller than the sum of its proper divisors (1304970512028).

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

819400088772 is a wasteful number, since it uses less digits than its factorization.

819400088772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587037872 (or 7587037864 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 819400088772 in words is "eight hundred nineteen billion, four hundred million, eighty-eight thousand, seven hundred seventy-two".