819753480 has 512 divisors, whose sum is σ = 3548160000. Its totient is φ = 163482624.

The previous prime is 819753479. The next prime is 819753497. The reversal of 819753480 is 84357918.

819753480 is a `hidden beast` number, since 81 + 97 + 5 + 3 + 480 = 666.

It is a super-2 number, since 2×819753480² = 1343991535944220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1867101 + ... + 1867539.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^819753480 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 819753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774080000).

819753480 is an abundant number, since it is smaller than the sum of its proper divisors (2728406520).

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

819753480 is a wasteful number, since it uses less digits than its factorization.

819753480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 819753480 is about 28631.3373770769. The cubic root of 819753480 is about 935.8963560452.

The spelling of 819753480 in words is "eight hundred nineteen million, seven hundred fifty-three thousand, four hundred eighty".