77313344940 has 960 divisors, whose sum is σ = 296909141760. Its totient is φ = 16641884160.

The previous prime is 77313344903. The next prime is 77313345007. The reversal of 77313344940 is 4944331377.

77313344940 is a `hidden beast` number, since 7 + 73 + 133 + 449 + 4 + 0 = 666.

It is a super-2 number, since 2×77313344940² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 337612746 + ... + 337612974.

It is an arithmetic number, because the mean of its divisors is an integer number (309280356).

Almost surely, 2^77313344940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77313344940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148454570880).

77313344940 is an abundant number, since it is smaller than the sum of its proper divisors (219595796820).

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

77313344940 is a wasteful number, since it uses less digits than its factorization.

77313344940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 77313344940 in words is "seventy-seven billion, three hundred thirteen million, three hundred forty-four thousand, nine hundred forty".