7492779000 has 384 divisors, whose sum is σ = 30207790080. Its totient is φ = 1637856000.

The previous prime is 7492778971. The next prime is 7492779013. The reversal of 7492779000 is 9772947.

It is a happy number.

7492779000 is a `hidden beast` number, since 7 + 492 + 77 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×7492779000² (a number of 21 digits) contains 22 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 95 ways as a sum of consecutive naturals, for example, 1446415 + ... + 1451585.

It is an arithmetic number, because the mean of its divisors is an integer number (78666120).

Almost surely, 2^7492779000 is an apocalyptic number.

7492779000 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 7492779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15103895040).

7492779000 is an abundant number, since it is smaller than the sum of its proper divisors (22715011080).

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

7492779000 is a wasteful number, since it uses less digits than its factorization.

7492779000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 7492779000 is about 86560.8398757775. The cubic root of 7492779000 is about 1956.8054131035.

The spelling of 7492779000 in words is "seven billion, four hundred ninety-two million, seven hundred seventy-nine thousand".