77953263460 has 48 divisors (see below), whose sum is σ = 172636712640. Its totient is φ = 29485503360.

The previous prime is 77953263449. The next prime is 77953263461. The reversal of 77953263460 is 6436235977.

It is a super-2 number, since 2×77953263460² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77953263398 and 77953263407.

It is not an unprimeable number, because it can be changed into a prime (77953263461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15987 + ... + 395173.

It is an arithmetic number, because the mean of its divisors is an integer number (3596598180).

Almost surely, 2^77953263460 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 77953263460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86318356320).

77953263460 is an abundant number, since it is smaller than the sum of its proper divisors (94683449180).

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

77953263460 is a wasteful number, since it uses less digits than its factorization.

77953263460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379756 (or 379754 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 77953263460 in words is "seventy-seven billion, nine hundred fifty-three million, two hundred sixty-three thousand, four hundred sixty".