77273640 has 96 divisors (see below), whose sum is σ = 256538880. Its totient is φ = 20163456.

The previous prime is 77273633. The next prime is 77273659. The reversal of 77273640 is 4637277.

77273640 is a `hidden beast` number, since 7 + 7 + 2 + 7 + 3 + 640 = 666.

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 = 77273595 and 77273604.

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, 14637 + ... + 19203.

It is an arithmetic number, because the mean of its divisors is an integer number (2672280).

Almost surely, 2^77273640 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 77273640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128269440).

77273640 is an abundant number, since it is smaller than the sum of its proper divisors (179265240).

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

77273640 is a wasteful number, since it uses less digits than its factorization.

77273640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 77273640 is about 8790.5426453661. The cubic root of 77273640 is about 425.9354527608.

The spelling of 77273640 in words is "seventy-seven million, two hundred seventy-three thousand, six hundred forty".