77097104280 has 192 divisors, whose sum is σ = 286490468160. Its totient is φ = 17614209024.

The previous prime is 77097104263. The next prime is 77097104297. The reversal of 77097104280 is 8240179077.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77097104263) and next prime (77097104297).

It is a super-2 number, since 2×77097104280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6932004 + ... + 6943116.

It is an arithmetic number, because the mean of its divisors is an integer number (1492137855).

Almost surely, 2^77097104280 is an apocalyptic number.

77097104280 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 77097104280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143245234080).

77097104280 is an abundant number, since it is smaller than the sum of its proper divisors (209393363880).

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

77097104280 is a wasteful number, since it uses less digits than its factorization.

77097104280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13890 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 77097104280 in words is "seventy-seven billion, ninety-seven million, one hundred four thousand, two hundred eighty".