77098573440 has 1152 divisors, whose sum is σ = 328598075520. Its totient is φ = 16930529280.

The previous prime is 77098573427. The next prime is 77098573441. The reversal of 77098573440 is 4437589077.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77098573441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1263911010 + ... + 1263911070.

It is an arithmetic number, because the mean of its divisors is an integer number (285241385).

Almost surely, 2^77098573440 is an apocalyptic number.

77098573440 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 77098573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164299037760).

77098573440 is an abundant number, since it is smaller than the sum of its proper divisors (251499502080).

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

77098573440 is an frugal number, since it uses more digits than its factorization.

77098573440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 77098573440 in words is "seventy-seven billion, ninety-eight million, five hundred seventy-three thousand, four hundred forty".