77371146240 has 576 divisors, whose sum is σ = 271789862400. Its totient is φ = 18731761664.

The previous prime is 77371146239. The next prime is 77371146277. The reversal of 77371146240 is 4264117377.

It is a happy number.

It is a super-2 number, since 2×77371146240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77371146192 and 77371146201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311375331 + ... + 1311375389.

It is an arithmetic number, because the mean of its divisors is an integer number (471857400).

Almost surely, 2^77371146240 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 77371146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135894931200).

77371146240 is an abundant number, since it is smaller than the sum of its proper divisors (194418716160).

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

77371146240 is an equidigital number, since it uses as much as digits as its factorization.

77371146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 77371146240 in words is "seventy-seven billion, three hundred seventy-one million, one hundred forty-six thousand, two hundred forty".