77652484416 has 336 divisors, whose sum is σ = 253000296640. Its totient is φ = 22574039040.

The previous prime is 77652484411. The next prime is 77652484421. The reversal of 77652484416 is 61448425677.

77652484416 is a `hidden beast` number, since 7 + 76 + 52 + 484 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (77652484411) and next prime (77652484421).

It is a super-2 number, since 2×77652484416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77652484411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95748651 + ... + 95749461.

Almost surely, 2^77652484416 is an apocalyptic number.

77652484416 is a gapful number since it is divisible by the number (76) 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 77652484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126500148320).

77652484416 is an abundant number, since it is smaller than the sum of its proper divisors (175347812224).

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

77652484416 is a wasteful number, since it uses less digits than its factorization.

77652484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1521 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 77652484416 in words is "seventy-seven billion, six hundred fifty-two million, four hundred eighty-four thousand, four hundred sixteen".