7916025600 has 648 divisors, whose sum is σ = 33509417760. Its totient is φ = 1744404480.

The previous prime is 7916025589. The next prime is 7916025641. The reversal of 7916025600 is 65206197.

7916025600 is a `hidden beast` number, since 7 + 91 + 6 + 0 + 2 + 560 + 0 = 666.

It is a super-2 number, since 2×7916025600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11692462 + ... + 11693138.

Almost surely, 2^7916025600 is an apocalyptic number.

7916025600 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 7916025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754708880).

7916025600 is an abundant number, since it is smaller than the sum of its proper divisors (25593392160).

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

7916025600 is a wasteful number, since it uses less digits than its factorization.

7916025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 7916025600 is about 88972.0495436629. The cubic root of 7916025600 is about 1992.9775044714.

The spelling of 7916025600 in words is "seven billion, nine hundred sixteen million, twenty-five thousand, six hundred".