7020764100 has 675 divisors, whose sum is σ = 28020971517. Its totient is φ = 1520285760.

The previous prime is 7020764087. The next prime is 7020764111. The reversal of 7020764100 is 14670207.

The square root of 7020764100 is 83790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2527475076 + 4493289024 = 50274^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×7020764100² = 98582257095697620000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 369513891 + ... + 369513909.

Almost surely, 2^7020764100 is an apocalyptic number.

7020764100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7020764100 is the 83790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7020764100

7020764100 is an abundant number, since it is smaller than the sum of its proper divisors (21000207417).

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

7020764100 is a wasteful number, since it uses less digits than its factorization.

7020764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The cubic root of 7020764100 is about 1914.8207582421.

The spelling of 7020764100 in words is "seven billion, twenty million, seven hundred sixty-four thousand, one hundred".