77898240 has 480 divisors, whose sum is σ = 335871360. Its totient is φ = 17031168.

The previous prime is 77898221. The next prime is 77898253. The reversal of 77898240 is 4289877.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386869 + ... + 3386891.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^77898240 is an apocalyptic number.

77898240 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 77898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167935680).

77898240 is an abundant number, since it is smaller than the sum of its proper divisors (257973120).

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

77898240 is a wasteful number, since it uses less digits than its factorization.

77898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 77898240 is about 8825.9979605708. The cubic root of 77898240 is about 427.0799814345.

The spelling of 77898240 in words is "seventy-seven million, eight hundred ninety-eight thousand, two hundred forty".