77283640 has 128 divisors (see below), whose sum is σ = 213120000. Its totient is φ = 24634368.

The previous prime is 77283587. The next prime is 77283667. The reversal of 77283640 is 4638277.

It is a super-2 number, since 2×77283640² = 11945522023299200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77283640.

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 31 ways as a sum of consecutive naturals, for example, 388261 + ... + 388459.

It is an arithmetic number, because the mean of its divisors is an integer number (1665000).

Almost surely, 2^77283640 is an apocalyptic number.

77283640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560000).

77283640 is an abundant number, since it is smaller than the sum of its proper divisors (135836360).

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

77283640 is a wasteful number, since it uses less digits than its factorization.

77283640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 77283640 is about 8791.1114200652. Note that the first 3 decimals coincide. The cubic root of 77283640 is about 425.9538254375.

The spelling of 77283640 in words is "seventy-seven million, two hundred eighty-three thousand, six hundred forty".