77283709440 has 480 divisors, whose sum is σ = 299933124480. Its totient is φ = 16894918656.

The previous prime is 77283709387. The next prime is 77283709453. The reversal of 77283709440 is 4490738277.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×77283709440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8650896 + ... + 8659824.

It is an arithmetic number, because the mean of its divisors is an integer number (624860676).

Almost surely, 2^77283709440 is an apocalyptic number.

77283709440 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 77283709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149966562240).

77283709440 is an abundant number, since it is smaller than the sum of its proper divisors (222649415040).

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

77283709440 is a wasteful number, since it uses less digits than its factorization.

77283709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8969 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 77283709440 in words is "seventy-seven billion, two hundred eighty-three million, seven hundred nine thousand, four hundred forty".