77963389440 has 320 divisors, whose sum is σ = 260513611776. Its totient is φ = 19870728192.

The previous prime is 77963389417. The next prime is 77963389477. The reversal of 77963389440 is 4498336977.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 15518769 + ... + 15523791.

Almost surely, 2^77963389440 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 77963389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130256805888).

77963389440 is an abundant number, since it is smaller than the sum of its proper divisors (182550222336).

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

77963389440 is a wasteful number, since it uses less digits than its factorization.

77963389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 77963389440 in words is "seventy-seven billion, nine hundred sixty-three million, three hundred eighty-nine thousand, four hundred forty".