77819040 has 144 divisors (see below), whose sum is σ = 286053768. Its totient is φ = 19150848.

The previous prime is 77819023. The next prime is 77819101. The reversal of 77819040 is 4091877.

It can be written as a sum of positive squares in 4 ways, for example, as 46949904 + 30869136 = 6852^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 77818986 and 77819004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16642 + ... + 20798.

Almost surely, 2^77819040 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 77819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026884).

77819040 is an abundant number, since it is smaller than the sum of its proper divisors (208234728).

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

77819040 is a wasteful number, since it uses less digits than its factorization.

77819040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77819040 is about 8821.5100748115. The cubic root of 77819040 is about 426.9351933779.

The spelling of 77819040 in words is "seventy-seven million, eight hundred nineteen thousand, forty".