77076473040 has 960 divisors, whose sum is σ = 319903334400. Its totient is φ = 16258682880.

The previous prime is 77076473039. The next prime is 77076473051. The reversal of 77076473040 is 4037467077.

77076473040 is a `hidden beast` number, since 7 + 70 + 76 + 473 + 0 + 40 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387318861 + ... + 387319059.

It is an arithmetic number, because the mean of its divisors is an integer number (333232640).

Almost surely, 2^77076473040 is an apocalyptic number.

77076473040 is a gapful number since it is divisible by the number (70) 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 77076473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159951667200).

77076473040 is an abundant number, since it is smaller than the sum of its proper divisors (242826861360).

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

77076473040 is a wasteful number, since it uses less digits than its factorization.

77076473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 77076473040 in words is "seventy-seven billion, seventy-six million, four hundred seventy-three thousand, forty".