77253378048 has 816 divisors, whose sum is σ = 294060409920. Its totient is φ = 20065812480.

The previous prime is 77253377963. The next prime is 77253378049. The reversal of 77253378048 is 84087335277.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77253377985 and 77253378003.

It is not an unprimeable number, because it can be changed into a prime (77253378049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7023034363 + ... + 7023034373.

Almost surely, 2^77253378048 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 77253378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147030204960).

77253378048 is an abundant number, since it is smaller than the sum of its proper divisors (216807031872).

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

77253378048 is an frugal number, since it uses more digits than its factorization.

77253378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 77253378048 in words is "seventy-seven billion, two hundred fifty-three million, three hundred seventy-eight thousand, forty-eight".