312361257780 has 288 divisors, whose sum is σ = 1113953637888. Its totient is φ = 69848064000.

The previous prime is 312361257763. The next prime is 312361257787. The reversal of 312361257780 is 87752163213.

312361257780 is a `hidden beast` number, since 3 + 1 + 23 + 612 + 5 + 7 + 7 + 8 + 0 = 666.

It is a super-2 number, since 2×312361257780² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312361257787) 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, 43677205 + ... + 43684355.

It is an arithmetic number, because the mean of its divisors is an integer number (3867894576).

Almost surely, 2^312361257780 is an apocalyptic number.

312361257780 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 312361257780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556976818944).

312361257780 is an abundant number, since it is smaller than the sum of its proper divisors (801592380108).

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

312361257780 is a wasteful number, since it uses less digits than its factorization.

312361257780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8887 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 312361257780 in words is "three hundred twelve billion, three hundred sixty-one million, two hundred fifty-seven thousand, seven hundred eighty".