7078291920 has 800 divisors, whose sum is σ = 30420910080. Its totient is φ = 1489259520.

The previous prime is 7078291897. The next prime is 7078291951. The reversal of 7078291920 is 291928707.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 37059025 + ... + 37059215.

Almost surely, 2^7078291920 is an apocalyptic number.

7078291920 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 7078291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210455040).

7078291920 is an abundant number, since it is smaller than the sum of its proper divisors (23342618160).

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

7078291920 is a wasteful number, since it uses less digits than its factorization.

7078291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 7078291920 is about 84132.5853638173. The cubic root of 7078291920 is about 1920.0365227428.

The spelling of 7078291920 in words is "seven billion, seventy-eight million, two hundred ninety-one thousand, nine hundred twenty".