7882761600 has 576 divisors, whose sum is σ = 32723664480. Its totient is φ = 1769472000.

The previous prime is 7882761599. The next prime is 7882761619. The reversal of 7882761600 is 61672887.

7882761600 is a `hidden beast` number, since 7 + 8 + 8 + 27 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×7882761600⁴ (a number of 41 digits) contains 4444 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12297280 + ... + 12297920.

Almost surely, 2^7882761600 is an apocalyptic number.

7882761600 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 7882761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361832240).

7882761600 is an abundant number, since it is smaller than the sum of its proper divisors (24840902880).

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

7882761600 is a wasteful number, since it uses less digits than its factorization.

7882761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7882761600 is about 88784.9176380763. The cubic root of 7882761600 is about 1990.1820157916.

The spelling of 7882761600 in words is "seven billion, eight hundred eighty-two million, seven hundred sixty-one thousand, six hundred".