7974780000 has 480 divisors, whose sum is σ = 29304519552. Its totient is φ = 1881600000.

The previous prime is 7974779993. The next prime is 7974780007. The reversal of 7974780000 is 874797.

It is an interprime number because it is at equal distance from previous prime (7974779993) and next prime (7974780007).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7974780007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28379860 + ... + 28380140.

Almost surely, 2^7974780000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7974780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14652259776).

7974780000 is an abundant number, since it is smaller than the sum of its proper divisors (21329739552).

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

7974780000 is a wasteful number, since it uses less digits than its factorization.

7974780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7974780000 is about 89301.6237254396. The cubic root of 7974780000 is about 1997.8961209559.

The spelling of 7974780000 in words is "seven billion, nine hundred seventy-four million, seven hundred eighty thousand".