816377440 has 24 divisors (see below), whose sum is σ = 1928692080. Its totient is φ = 326550912.

The previous prime is 816377413. The next prime is 816377453. The reversal of 816377440 is 44773618.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 816377393 and 816377402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2551020 + ... + 2551339.

It is an arithmetic number, because the mean of its divisors is an integer number (80362170).

Almost surely, 2^816377440 is an apocalyptic number.

816377440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816377440 is an abundant number, since it is smaller than the sum of its proper divisors (1112314640).

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

816377440 is a wasteful number, since it uses less digits than its factorization.

816377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102374 (or 5102366 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 816377440 is about 28572.3194718245. The cubic root of 816377440 is about 934.6098022004.

The spelling of 816377440 in words is "eight hundred sixteen million, three hundred seventy-seven thousand, four hundred forty".