610076880 has 320 divisors, whose sum is σ = 2426273280. Its totient is φ = 138018816.

The previous prime is 610076879. The next prime is 610076881. The reversal of 610076880 is 88670016.

It is an interprime number because it is at equal distance from previous prime (610076879) and next prime (610076881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610076881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2373712 + ... + 2373968.

It is an arithmetic number, because the mean of its divisors is an integer number (7582104).

Almost surely, 2^610076880 is an apocalyptic number.

610076880 is a gapful number since it is divisible by the number (60) 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 610076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213136640).

610076880 is an abundant number, since it is smaller than the sum of its proper divisors (1816196400).

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

610076880 is a wasteful number, since it uses less digits than its factorization.

610076880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 610076880 is about 24699.7344115276. The cubic root of 610076880 is about 848.1282365104.

The spelling of 610076880 in words is "six hundred ten million, seventy-six thousand, eight hundred eighty".