77819490 has 96 divisors (see below), whose sum is σ = 233715456. Its totient is φ = 17596800.

The previous prime is 77819477. The next prime is 77819507. The reversal of 77819490 is 9491877.

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

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 63019 + ... + 64241.

It is an arithmetic number, because the mean of its divisors is an integer number (2434536).

Almost surely, 2^77819490 is an apocalyptic number.

77819490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77819490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116857728).

77819490 is an abundant number, since it is smaller than the sum of its proper divisors (155895966).

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

77819490 is a wasteful number, since it uses less digits than its factorization.

77819490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 77819490 is about 8821.5355806118. The cubic root of 77819490 is about 426.9360163148.

It can be divided in two parts, 7781 and 9490, that added together give a palindrome (17271).

The spelling of 77819490 in words is "seventy-seven million, eight hundred nineteen thousand, four hundred ninety".