77037920640 has 448 divisors, whose sum is σ = 278095137840. Its totient is φ = 20397256704.

The previous prime is 77037920611. The next prime is 77037920689. The reversal of 77037920640 is 4602973077.

It is a happy number.

77037920640 is a `hidden beast` number, since 7 + 70 + 379 + 206 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76048774 + ... + 76049786.

Almost surely, 2^77037920640 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 77037920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139047568920).

77037920640 is an abundant number, since it is smaller than the sum of its proper divisors (201057217200).

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

77037920640 is a wasteful number, since it uses less digits than its factorization.

77037920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 77037920640 in words is "seventy-seven billion, thirty-seven million, nine hundred twenty thousand, six hundred forty".