77024640 has 256 divisors, whose sum is σ = 306685440. Its totient is φ = 15974400.

The previous prime is 77024627. The next prime is 77024641. The reversal of 77024640 is 4642077.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 77024598 and 77024607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77024641) by changing a digit.

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, 147580 + ... + 148100.

It is an arithmetic number, because the mean of its divisors is an integer number (1197990).

Almost surely, 2^77024640 is an apocalyptic number.

77024640 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 77024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342720).

77024640 is an abundant number, since it is smaller than the sum of its proper divisors (229660800).

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

77024640 is a wasteful number, since it uses less digits than its factorization.

77024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 77024640 is about 8776.3682693925. The cubic root of 77024640 is about 425.4774610945.

The spelling of 77024640 in words is "seventy-seven million, twenty-four thousand, six hundred forty".