77235840 has 384 divisors, whose sum is σ = 309329280. Its totient is φ = 17571840.

The previous prime is 77235833. The next prime is 77235857. The reversal of 77235840 is 4853277.

77235840 is a `hidden beast` number, since 7 + 72 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 77235795 and 77235804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457254 + ... + 1457306.

It is an arithmetic number, because the mean of its divisors is an integer number (805545).

Almost surely, 2^77235840 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 77235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154664640).

77235840 is an abundant number, since it is smaller than the sum of its proper divisors (232093440).

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

77235840 is a wasteful number, since it uses less digits than its factorization.

77235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 77235840 is about 8788.3923444507. The cubic root of 77235840 is about 425.8659897197.

The spelling of 77235840 in words is "seventy-seven million, two hundred thirty-five thousand, eight hundred forty".