77121000 has 384 divisors, whose sum is σ = 306633600. Its totient is φ = 17280000.

The previous prime is 77120971. The next prime is 77121007. The reversal of 77121000 is 12177.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77121007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1880980 + ... + 1881020.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^77121000 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 77121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

77121000 is an abundant number, since it is smaller than the sum of its proper divisors (229512600).

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

77121000 is a wasteful number, since it uses less digits than its factorization.

77121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 77121000 is about 8781.8562957953. The cubic root of 77121000 is about 425.6548152634.

Adding to 77121000 its reverse (12177), we get a palindrome (77133177).

The spelling of 77121000 in words is "seventy-seven million, one hundred twenty-one thousand".