1242077680 has 80 divisors (see below), whose sum is σ = 2926152000. Its totient is φ = 490291200.

The previous prime is 1242077677. The next prime is 1242077723. The reversal of 1242077680 is 867702421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2766096 + ... + 2766544.

It is an arithmetic number, because the mean of its divisors is an integer number (36576900).

Almost surely, 2^1242077680 is an apocalyptic number.

1242077680 is a gapful number since it is divisible by the number (10) 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 1242077680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463076000).

1242077680 is an abundant number, since it is smaller than the sum of its proper divisors (1684074320).

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

1242077680 is a wasteful number, since it uses less digits than its factorization.

1242077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 1242077680 is about 35243.1224496355. The cubic root of 1242077680 is about 1074.9367707537.

It can be divided in two parts, 12420 and 77680, that added together give a triangular number (90100 = T₄₂₄).

The spelling of 1242077680 in words is "one billion, two hundred forty-two million, seventy-seven thousand, six hundred eighty".