7976196900 has 288 divisors, whose sum is σ = 29544775680. Its totient is φ = 1808231040.

The previous prime is 7976196857. The next prime is 7976196937. The reversal of 7976196900 is 96916797.

7976196900 = T₁₁₁₄₄ + T₁₁₁₄₅ + ... + T₁₁₂₇₀.

It is a super-2 number, since 2×7976196900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2398639 + ... + 2401961.

Almost surely, 2^7976196900 is an apocalyptic number.

7976196900 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 7976196900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772387840).

7976196900 is an abundant number, since it is smaller than the sum of its proper divisors (21568578780).

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

7976196900 is a wasteful number, since it uses less digits than its factorization.

7976196900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 7976196900 is about 89309.5565995040. The cubic root of 7976196900 is about 1998.0144377570.

The spelling of 7976196900 in words is "seven billion, nine hundred seventy-six million, one hundred ninety-six thousand, nine hundred".