3077079840 has 672 divisors, whose sum is σ = 12057486336. Its totient is φ = 739031040.

The previous prime is 3077079839. The next prime is 3077079853. The reversal of 3077079840 is 489707703.

3077079840 = T₂₇₆ + T₂₇₇ + ... + T₂₆₄₃.

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 (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 83164302 + ... + 83164338.

It is an arithmetic number, because the mean of its divisors is an integer number (17942688).

Almost surely, 2^3077079840 is an apocalyptic number.

3077079840 is a gapful number since it is divisible by the number (30) 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 3077079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028743168).

3077079840 is an abundant number, since it is smaller than the sum of its proper divisors (8980406496).

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

3077079840 is a wasteful number, since it uses less digits than its factorization.

3077079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 3077079840 is about 55471.4326478053. The cubic root of 3077079840 is about 1454.4973074783.

The spelling of 3077079840 in words is "three billion, seventy-seven million, seventy-nine thousand, eight hundred forty".