1295346780 has 288 divisors, whose sum is σ = 4993916928. Its totient is φ = 264384000.

The previous prime is 1295346769. The next prime is 1295346781. The reversal of 1295346780 is 876435921.

1295346780 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

1295346780 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1295346781) 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, 506505 + ... + 509055.

It is a 1-persistent number, because it is pandigital, but 2⋅1295346780 = 2590693560 is not.

Almost surely, 2^1295346780 is an apocalyptic number.

1295346780 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 1295346780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496958464).

1295346780 is an abundant number, since it is smaller than the sum of its proper divisors (3698570148).

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

1295346780 is a wasteful number, since it uses less digits than its factorization.

1295346780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1295346780 is about 35990.9263565138. The cubic root of 1295346780 is about 1090.0891490646.

The spelling of 1295346780 in words is "one billion, two hundred ninety-five million, three hundred forty-six thousand, seven hundred eighty".